Article
Version 18
Preserved in Portico This version is not peer-reviewed
Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations
Version 1
: Received: 2 February 2023 / Approved: 3 February 2023 / Online: 3 February 2023 (02:35:00 CET)
Version 2 : Received: 8 February 2023 / Approved: 9 February 2023 / Online: 9 February 2023 (02:22:50 CET)
Version 3 : Received: 14 February 2023 / Approved: 15 February 2023 / Online: 15 February 2023 (04:11:16 CET)
Version 4 : Received: 16 February 2023 / Approved: 20 February 2023 / Online: 20 February 2023 (03:19:57 CET)
Version 5 : Received: 23 February 2023 / Approved: 23 February 2023 / Online: 23 February 2023 (03:37:43 CET)
Version 6 : Received: 26 February 2023 / Approved: 27 February 2023 / Online: 27 February 2023 (08:22:59 CET)
Version 7 : Received: 11 March 2023 / Approved: 13 March 2023 / Online: 13 March 2023 (04:16:53 CET)
Version 8 : Received: 27 March 2023 / Approved: 27 March 2023 / Online: 27 March 2023 (08:22:39 CEST)
Version 9 : Received: 3 April 2023 / Approved: 3 April 2023 / Online: 3 April 2023 (07:35:36 CEST)
Version 10 : Received: 7 April 2023 / Approved: 10 April 2023 / Online: 10 April 2023 (05:17:37 CEST)
Version 11 : Received: 22 April 2023 / Approved: 23 April 2023 / Online: 23 April 2023 (04:32:39 CEST)
Version 12 : Received: 28 April 2023 / Approved: 29 April 2023 / Online: 29 April 2023 (05:09:20 CEST)
Version 13 : Received: 16 May 2023 / Approved: 17 May 2023 / Online: 17 May 2023 (04:18:59 CEST)
Version 14 : Received: 27 May 2023 / Approved: 30 May 2023 / Online: 30 May 2023 (04:39:02 CEST)
Version 15 : Received: 12 June 2023 / Approved: 12 June 2023 / Online: 12 June 2023 (07:45:08 CEST)
Version 16 : Received: 16 June 2023 / Approved: 16 June 2023 / Online: 16 June 2023 (08:41:09 CEST)
Version 17 : Received: 19 June 2023 / Approved: 19 June 2023 / Online: 19 June 2023 (07:04:08 CEST)
Version 18 : Received: 27 June 2023 / Approved: 28 June 2023 / Online: 28 June 2023 (03:00:41 CEST)
Version 19 : Received: 29 June 2023 / Approved: 29 June 2023 / Online: 29 June 2023 (08:23:03 CEST)
Version 20 : Received: 3 July 2023 / Approved: 3 July 2023 / Online: 4 July 2023 (02:51:23 CEST)
Version 21 : Received: 8 July 2023 / Approved: 10 July 2023 / Online: 10 July 2023 (08:20:45 CEST)
Version 22 : Received: 19 July 2023 / Approved: 19 July 2023 / Online: 19 July 2023 (07:14:42 CEST)
Version 23 : Received: 24 July 2023 / Approved: 24 July 2023 / Online: 25 July 2023 (03:10:16 CEST)
Version 24 : Received: 30 July 2023 / Approved: 31 July 2023 / Online: 31 July 2023 (10:48:10 CEST)
Version 25 : Received: 2 August 2023 / Approved: 2 August 2023 / Online: 3 August 2023 (02:43:54 CEST)
Version 26 : Received: 7 August 2023 / Approved: 7 August 2023 / Online: 8 August 2023 (03:48:39 CEST)
Version 27 : Received: 9 August 2023 / Approved: 9 August 2023 / Online: 9 August 2023 (07:32:07 CEST)
Version 28 : Received: 14 August 2023 / Approved: 14 August 2023 / Online: 14 August 2023 (10:02:03 CEST)
Version 29 : Received: 21 August 2023 / Approved: 21 August 2023 / Online: 21 August 2023 (07:18:40 CEST)
Version 30 : Received: 31 August 2023 / Approved: 31 August 2023 / Online: 1 September 2023 (09:48:31 CEST)
Version 31 : Received: 4 September 2023 / Approved: 5 September 2023 / Online: 5 September 2023 (09:37:18 CEST)
Version 32 : Received: 11 September 2023 / Approved: 12 September 2023 / Online: 12 September 2023 (08:11:58 CEST)
Version 33 : Received: 29 October 2023 / Approved: 2 November 2023 / Online: 2 November 2023 (04:27:43 CET)
Version 34 : Received: 6 November 2023 / Approved: 8 November 2023 / Online: 8 November 2023 (15:52:27 CET)
Version 35 : Received: 15 November 2023 / Approved: 15 November 2023 / Online: 15 November 2023 (10:00:43 CET)
Version 36 : Received: 19 November 2023 / Approved: 20 November 2023 / Online: 20 November 2023 (07:32:59 CET)
Version 37 : Received: 22 November 2023 / Approved: 22 November 2023 / Online: 22 November 2023 (06:58:25 CET)
Version 38 : Received: 23 November 2023 / Approved: 23 November 2023 / Online: 23 November 2023 (07:02:39 CET)
Version 39 : Received: 26 November 2023 / Approved: 27 November 2023 / Online: 27 November 2023 (05:20:21 CET)
Version 40 : Received: 28 November 2023 / Approved: 29 November 2023 / Online: 29 November 2023 (10:56:25 CET)
Version 41 : Received: 4 December 2023 / Approved: 4 December 2023 / Online: 5 December 2023 (04:38:06 CET)
Version 42 : Received: 9 December 2023 / Approved: 12 December 2023 / Online: 13 December 2023 (05:06:56 CET)
Version 43 : Received: 14 December 2023 / Approved: 14 December 2023 / Online: 14 December 2023 (16:29:43 CET)
Version 44 : Received: 16 December 2023 / Approved: 18 December 2023 / Online: 18 December 2023 (13:02:28 CET)
Version 45 : Received: 18 December 2023 / Approved: 19 December 2023 / Online: 19 December 2023 (10:52:21 CET)
Version 46 : Received: 25 December 2023 / Approved: 26 December 2023 / Online: 26 December 2023 (06:25:50 CET)
Version 47 : Received: 29 December 2023 / Approved: 29 December 2023 / Online: 29 December 2023 (12:05:37 CET)
Version 48 : Received: 5 January 2024 / Approved: 5 January 2024 / Online: 8 January 2024 (13:56:20 CET)
Version 49 : Received: 9 January 2024 / Approved: 10 January 2024 / Online: 10 January 2024 (11:10:01 CET)
Version 50 : Received: 14 January 2024 / Approved: 15 January 2024 / Online: 17 January 2024 (06:53:32 CET)
Version 51 : Received: 21 January 2024 / Approved: 22 January 2024 / Online: 22 January 2024 (14:26:31 CET)
Version 52 : Received: 23 January 2024 / Approved: 23 January 2024 / Online: 23 January 2024 (10:56:14 CET)
Version 53 : Received: 24 January 2024 / Approved: 25 January 2024 / Online: 26 January 2024 (02:03:43 CET)
Version 54 : Received: 1 February 2024 / Approved: 2 February 2024 / Online: 2 February 2024 (10:29:42 CET)
Version 55 : Received: 5 February 2024 / Approved: 5 February 2024 / Online: 5 February 2024 (15:32:59 CET)
Version 56 : Received: 9 February 2024 / Approved: 12 February 2024 / Online: 14 February 2024 (03:36:03 CET)
Version 57 : Received: 14 February 2024 / Approved: 14 February 2024 / Online: 14 February 2024 (15:26:39 CET)
Version 58 : Received: 19 February 2024 / Approved: 19 February 2024 / Online: 19 February 2024 (08:34:46 CET)
Version 59 : Received: 20 February 2024 / Approved: 21 February 2024 / Online: 22 February 2024 (01:43:05 CET)
Version 60 : Received: 2 March 2024 / Approved: 2 March 2024 / Online: 4 March 2024 (09:56:44 CET)
Version 61 : Received: 10 March 2024 / Approved: 11 March 2024 / Online: 11 March 2024 (09:04:26 CET)
Version 62 : Received: 20 March 2024 / Approved: 20 March 2024 / Online: 20 March 2024 (12:24:10 CET)
Version 63 : Received: 24 March 2024 / Approved: 25 March 2024 / Online: 25 March 2024 (11:21:37 CET)
Version 64 : Received: 30 March 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (15:41:15 CEST)
Version 65 : Received: 21 April 2024 / Approved: 22 April 2024 / Online: 22 April 2024 (18:25:52 CEST)
Version 66 : Received: 25 April 2024 / Approved: 25 April 2024 / Online: 25 April 2024 (11:26:51 CEST)
Version 67 : Received: 26 April 2024 / Approved: 28 April 2024 / Online: 29 April 2024 (03:45:35 CEST)
Version 68 : Received: 29 April 2024 / Approved: 30 April 2024 / Online: 30 April 2024 (14:32:25 CEST)
Version 69 : Received: 1 May 2024 / Approved: 1 May 2024 / Online: 1 May 2024 (05:37:49 CEST)
Version 70 : Received: 5 May 2024 / Approved: 6 May 2024 / Online: 6 May 2024 (09:40:06 CEST)
Version 71 : Received: 7 May 2024 / Approved: 8 May 2024 / Online: 8 May 2024 (11:28:29 CEST)
Version 72 : Received: 10 May 2024 / Approved: 10 May 2024 / Online: 13 May 2024 (03:17:45 CEST)
Version 73 : Received: 13 May 2024 / Approved: 13 May 2024 / Online: 13 May 2024 (10:46:22 CEST)
Version 74 : Received: 14 May 2024 / Approved: 15 May 2024 / Online: 16 May 2024 (17:34:28 CEST)
Version 75 : Received: 18 May 2024 / Approved: 20 May 2024 / Online: 20 May 2024 (09:45:23 CEST)
Version 76 : Received: 22 May 2024 / Approved: 22 May 2024 / Online: 22 May 2024 (12:52:18 CEST)
Version 77 : Received: 25 May 2024 / Approved: 27 May 2024 / Online: 27 May 2024 (17:17:29 CEST)
Version 78 : Received: 28 May 2024 / Approved: 29 May 2024 / Online: 30 May 2024 (13:50:53 CEST)
Version 79 : Received: 30 May 2024 / Approved: 31 May 2024 / Online: 31 May 2024 (08:10:45 CEST)
Version 80 : Received: 2 June 2024 / Approved: 3 June 2024 / Online: 4 June 2024 (04:33:45 CEST)
Version 81 : Received: 5 June 2024 / Approved: 5 June 2024 / Online: 5 June 2024 (14:49:48 CEST)
Version 82 : Received: 8 June 2024 / Approved: 10 June 2024 / Online: 11 June 2024 (08:58:31 CEST)
Version 83 : Received: 15 June 2024 / Approved: 15 June 2024 / Online: 17 June 2024 (12:22:53 CEST)
Version 84 : Received: 17 June 2024 / Approved: 18 June 2024 / Online: 18 June 2024 (17:01:02 CEST)
Version 85 : Received: 21 June 2024 / Approved: 24 June 2024 / Online: 24 June 2024 (11:49:31 CEST)
Version 86 : Received: 25 June 2024 / Approved: 25 June 2024 / Online: 26 June 2024 (00:08:08 CEST)
Version 87 : Received: 28 June 2024 / Approved: 28 June 2024 / Online: 28 June 2024 (05:09:29 CEST)
Version 88 : Received: 29 June 2024 / Approved: 1 July 2024 / Online: 1 July 2024 (13:02:49 CEST)
Version 89 : Received: 1 July 2024 / Approved: 1 July 2024 / Online: 2 July 2024 (14:49:12 CEST)
Version 90 : Received: 5 July 2024 / Approved: 8 July 2024 / Online: 10 July 2024 (09:21:54 CEST)
Version 91 : Received: 10 July 2024 / Approved: 10 July 2024 / Online: 11 July 2024 (10:19:08 CEST)
Version 92 : Received: 12 July 2024 / Approved: 12 July 2024 / Online: 14 July 2024 (03:11:33 CEST)
Version 93 : Received: 14 July 2024 / Approved: 15 July 2024 / Online: 15 July 2024 (12:46:57 CEST)
Version 94 : Received: 22 August 2024 / Approved: 23 August 2024 / Online: 23 August 2024 (15:05:57 CEST)
Version 95 : Received: 1 September 2024 / Approved: 1 September 2024 / Online: 2 September 2024 (13:38:19 CEST)
Version 2 : Received: 8 February 2023 / Approved: 9 February 2023 / Online: 9 February 2023 (02:22:50 CET)
Version 3 : Received: 14 February 2023 / Approved: 15 February 2023 / Online: 15 February 2023 (04:11:16 CET)
Version 4 : Received: 16 February 2023 / Approved: 20 February 2023 / Online: 20 February 2023 (03:19:57 CET)
Version 5 : Received: 23 February 2023 / Approved: 23 February 2023 / Online: 23 February 2023 (03:37:43 CET)
Version 6 : Received: 26 February 2023 / Approved: 27 February 2023 / Online: 27 February 2023 (08:22:59 CET)
Version 7 : Received: 11 March 2023 / Approved: 13 March 2023 / Online: 13 March 2023 (04:16:53 CET)
Version 8 : Received: 27 March 2023 / Approved: 27 March 2023 / Online: 27 March 2023 (08:22:39 CEST)
Version 9 : Received: 3 April 2023 / Approved: 3 April 2023 / Online: 3 April 2023 (07:35:36 CEST)
Version 10 : Received: 7 April 2023 / Approved: 10 April 2023 / Online: 10 April 2023 (05:17:37 CEST)
Version 11 : Received: 22 April 2023 / Approved: 23 April 2023 / Online: 23 April 2023 (04:32:39 CEST)
Version 12 : Received: 28 April 2023 / Approved: 29 April 2023 / Online: 29 April 2023 (05:09:20 CEST)
Version 13 : Received: 16 May 2023 / Approved: 17 May 2023 / Online: 17 May 2023 (04:18:59 CEST)
Version 14 : Received: 27 May 2023 / Approved: 30 May 2023 / Online: 30 May 2023 (04:39:02 CEST)
Version 15 : Received: 12 June 2023 / Approved: 12 June 2023 / Online: 12 June 2023 (07:45:08 CEST)
Version 16 : Received: 16 June 2023 / Approved: 16 June 2023 / Online: 16 June 2023 (08:41:09 CEST)
Version 17 : Received: 19 June 2023 / Approved: 19 June 2023 / Online: 19 June 2023 (07:04:08 CEST)
Version 18 : Received: 27 June 2023 / Approved: 28 June 2023 / Online: 28 June 2023 (03:00:41 CEST)
Version 19 : Received: 29 June 2023 / Approved: 29 June 2023 / Online: 29 June 2023 (08:23:03 CEST)
Version 20 : Received: 3 July 2023 / Approved: 3 July 2023 / Online: 4 July 2023 (02:51:23 CEST)
Version 21 : Received: 8 July 2023 / Approved: 10 July 2023 / Online: 10 July 2023 (08:20:45 CEST)
Version 22 : Received: 19 July 2023 / Approved: 19 July 2023 / Online: 19 July 2023 (07:14:42 CEST)
Version 23 : Received: 24 July 2023 / Approved: 24 July 2023 / Online: 25 July 2023 (03:10:16 CEST)
Version 24 : Received: 30 July 2023 / Approved: 31 July 2023 / Online: 31 July 2023 (10:48:10 CEST)
Version 25 : Received: 2 August 2023 / Approved: 2 August 2023 / Online: 3 August 2023 (02:43:54 CEST)
Version 26 : Received: 7 August 2023 / Approved: 7 August 2023 / Online: 8 August 2023 (03:48:39 CEST)
Version 27 : Received: 9 August 2023 / Approved: 9 August 2023 / Online: 9 August 2023 (07:32:07 CEST)
Version 28 : Received: 14 August 2023 / Approved: 14 August 2023 / Online: 14 August 2023 (10:02:03 CEST)
Version 29 : Received: 21 August 2023 / Approved: 21 August 2023 / Online: 21 August 2023 (07:18:40 CEST)
Version 30 : Received: 31 August 2023 / Approved: 31 August 2023 / Online: 1 September 2023 (09:48:31 CEST)
Version 31 : Received: 4 September 2023 / Approved: 5 September 2023 / Online: 5 September 2023 (09:37:18 CEST)
Version 32 : Received: 11 September 2023 / Approved: 12 September 2023 / Online: 12 September 2023 (08:11:58 CEST)
Version 33 : Received: 29 October 2023 / Approved: 2 November 2023 / Online: 2 November 2023 (04:27:43 CET)
Version 34 : Received: 6 November 2023 / Approved: 8 November 2023 / Online: 8 November 2023 (15:52:27 CET)
Version 35 : Received: 15 November 2023 / Approved: 15 November 2023 / Online: 15 November 2023 (10:00:43 CET)
Version 36 : Received: 19 November 2023 / Approved: 20 November 2023 / Online: 20 November 2023 (07:32:59 CET)
Version 37 : Received: 22 November 2023 / Approved: 22 November 2023 / Online: 22 November 2023 (06:58:25 CET)
Version 38 : Received: 23 November 2023 / Approved: 23 November 2023 / Online: 23 November 2023 (07:02:39 CET)
Version 39 : Received: 26 November 2023 / Approved: 27 November 2023 / Online: 27 November 2023 (05:20:21 CET)
Version 40 : Received: 28 November 2023 / Approved: 29 November 2023 / Online: 29 November 2023 (10:56:25 CET)
Version 41 : Received: 4 December 2023 / Approved: 4 December 2023 / Online: 5 December 2023 (04:38:06 CET)
Version 42 : Received: 9 December 2023 / Approved: 12 December 2023 / Online: 13 December 2023 (05:06:56 CET)
Version 43 : Received: 14 December 2023 / Approved: 14 December 2023 / Online: 14 December 2023 (16:29:43 CET)
Version 44 : Received: 16 December 2023 / Approved: 18 December 2023 / Online: 18 December 2023 (13:02:28 CET)
Version 45 : Received: 18 December 2023 / Approved: 19 December 2023 / Online: 19 December 2023 (10:52:21 CET)
Version 46 : Received: 25 December 2023 / Approved: 26 December 2023 / Online: 26 December 2023 (06:25:50 CET)
Version 47 : Received: 29 December 2023 / Approved: 29 December 2023 / Online: 29 December 2023 (12:05:37 CET)
Version 48 : Received: 5 January 2024 / Approved: 5 January 2024 / Online: 8 January 2024 (13:56:20 CET)
Version 49 : Received: 9 January 2024 / Approved: 10 January 2024 / Online: 10 January 2024 (11:10:01 CET)
Version 50 : Received: 14 January 2024 / Approved: 15 January 2024 / Online: 17 January 2024 (06:53:32 CET)
Version 51 : Received: 21 January 2024 / Approved: 22 January 2024 / Online: 22 January 2024 (14:26:31 CET)
Version 52 : Received: 23 January 2024 / Approved: 23 January 2024 / Online: 23 January 2024 (10:56:14 CET)
Version 53 : Received: 24 January 2024 / Approved: 25 January 2024 / Online: 26 January 2024 (02:03:43 CET)
Version 54 : Received: 1 February 2024 / Approved: 2 February 2024 / Online: 2 February 2024 (10:29:42 CET)
Version 55 : Received: 5 February 2024 / Approved: 5 February 2024 / Online: 5 February 2024 (15:32:59 CET)
Version 56 : Received: 9 February 2024 / Approved: 12 February 2024 / Online: 14 February 2024 (03:36:03 CET)
Version 57 : Received: 14 February 2024 / Approved: 14 February 2024 / Online: 14 February 2024 (15:26:39 CET)
Version 58 : Received: 19 February 2024 / Approved: 19 February 2024 / Online: 19 February 2024 (08:34:46 CET)
Version 59 : Received: 20 February 2024 / Approved: 21 February 2024 / Online: 22 February 2024 (01:43:05 CET)
Version 60 : Received: 2 March 2024 / Approved: 2 March 2024 / Online: 4 March 2024 (09:56:44 CET)
Version 61 : Received: 10 March 2024 / Approved: 11 March 2024 / Online: 11 March 2024 (09:04:26 CET)
Version 62 : Received: 20 March 2024 / Approved: 20 March 2024 / Online: 20 March 2024 (12:24:10 CET)
Version 63 : Received: 24 March 2024 / Approved: 25 March 2024 / Online: 25 March 2024 (11:21:37 CET)
Version 64 : Received: 30 March 2024 / Approved: 1 April 2024 / Online: 2 April 2024 (15:41:15 CEST)
Version 65 : Received: 21 April 2024 / Approved: 22 April 2024 / Online: 22 April 2024 (18:25:52 CEST)
Version 66 : Received: 25 April 2024 / Approved: 25 April 2024 / Online: 25 April 2024 (11:26:51 CEST)
Version 67 : Received: 26 April 2024 / Approved: 28 April 2024 / Online: 29 April 2024 (03:45:35 CEST)
Version 68 : Received: 29 April 2024 / Approved: 30 April 2024 / Online: 30 April 2024 (14:32:25 CEST)
Version 69 : Received: 1 May 2024 / Approved: 1 May 2024 / Online: 1 May 2024 (05:37:49 CEST)
Version 70 : Received: 5 May 2024 / Approved: 6 May 2024 / Online: 6 May 2024 (09:40:06 CEST)
Version 71 : Received: 7 May 2024 / Approved: 8 May 2024 / Online: 8 May 2024 (11:28:29 CEST)
Version 72 : Received: 10 May 2024 / Approved: 10 May 2024 / Online: 13 May 2024 (03:17:45 CEST)
Version 73 : Received: 13 May 2024 / Approved: 13 May 2024 / Online: 13 May 2024 (10:46:22 CEST)
Version 74 : Received: 14 May 2024 / Approved: 15 May 2024 / Online: 16 May 2024 (17:34:28 CEST)
Version 75 : Received: 18 May 2024 / Approved: 20 May 2024 / Online: 20 May 2024 (09:45:23 CEST)
Version 76 : Received: 22 May 2024 / Approved: 22 May 2024 / Online: 22 May 2024 (12:52:18 CEST)
Version 77 : Received: 25 May 2024 / Approved: 27 May 2024 / Online: 27 May 2024 (17:17:29 CEST)
Version 78 : Received: 28 May 2024 / Approved: 29 May 2024 / Online: 30 May 2024 (13:50:53 CEST)
Version 79 : Received: 30 May 2024 / Approved: 31 May 2024 / Online: 31 May 2024 (08:10:45 CEST)
Version 80 : Received: 2 June 2024 / Approved: 3 June 2024 / Online: 4 June 2024 (04:33:45 CEST)
Version 81 : Received: 5 June 2024 / Approved: 5 June 2024 / Online: 5 June 2024 (14:49:48 CEST)
Version 82 : Received: 8 June 2024 / Approved: 10 June 2024 / Online: 11 June 2024 (08:58:31 CEST)
Version 83 : Received: 15 June 2024 / Approved: 15 June 2024 / Online: 17 June 2024 (12:22:53 CEST)
Version 84 : Received: 17 June 2024 / Approved: 18 June 2024 / Online: 18 June 2024 (17:01:02 CEST)
Version 85 : Received: 21 June 2024 / Approved: 24 June 2024 / Online: 24 June 2024 (11:49:31 CEST)
Version 86 : Received: 25 June 2024 / Approved: 25 June 2024 / Online: 26 June 2024 (00:08:08 CEST)
Version 87 : Received: 28 June 2024 / Approved: 28 June 2024 / Online: 28 June 2024 (05:09:29 CEST)
Version 88 : Received: 29 June 2024 / Approved: 1 July 2024 / Online: 1 July 2024 (13:02:49 CEST)
Version 89 : Received: 1 July 2024 / Approved: 1 July 2024 / Online: 2 July 2024 (14:49:12 CEST)
Version 90 : Received: 5 July 2024 / Approved: 8 July 2024 / Online: 10 July 2024 (09:21:54 CEST)
Version 91 : Received: 10 July 2024 / Approved: 10 July 2024 / Online: 11 July 2024 (10:19:08 CEST)
Version 92 : Received: 12 July 2024 / Approved: 12 July 2024 / Online: 14 July 2024 (03:11:33 CEST)
Version 93 : Received: 14 July 2024 / Approved: 15 July 2024 / Online: 15 July 2024 (12:46:57 CEST)
Version 94 : Received: 22 August 2024 / Approved: 23 August 2024 / Online: 23 August 2024 (15:05:57 CEST)
Version 95 : Received: 1 September 2024 / Approved: 1 September 2024 / Online: 2 September 2024 (13:38:19 CEST)
How to cite: Botelho, F. Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations. Preprints 2023, 2023020051. https://doi.org/10.20944/preprints202302.0051.v18 Botelho, F. Duality Principles and Numerical Procedures for a Large Class of Non-convex Models in the Calculus of Variations. Preprints 2023, 2023020051. https://doi.org/10.20944/preprints202302.0051.v18
Abstract
This article develops duality principles and numerical results for a large class of non-convex variational models. The main results are based on fundamental tools of convex analysis, duality theory and calculus of variations. More specifically the approach is established for a class of non-convex functionals similar as those found in some models in phase transition. Finally, in the last section we present a concerning numerical example and the respective software.
Keywords
Duality theory; non-convex analysis; numerical method for a non-smooth model
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (1)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
Commenter: Fabio Botelho
Commenter's Conflict of Interests: Author
Also, in such a section 3, we have presented a concerning new software in MATLAB based on the one dimensional version of the generalized method of lines.