Automating the solution of PDEs on the sphere and other manifolds in   FEniCS 1.2

Rognes, M. E.; Ham, D. A.; Cotter, C. J.; McRae, A. T. T.

doi:10.5194/gmd-6-2099-2013

Articles | Volume 6, issue 6

https://doi.org/10.5194/gmd-6-2099-2013

© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue:

Isaac Newton Institute programme on multiscale numerics for...

https://doi.org/10.5194/gmd-6-2099-2013

© Author(s) 2013. This work is distributed under
the Creative Commons Attribution 3.0 License.

Articles | Volume 6, issue 6

Development and technical paper

|

17 Dec 2013

Development and technical paper |

| 17 Dec 2013

Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2

M. E. Rognes, D. A. Ham, C. J. Cotter, and A. T. T. McRae

Viewed

Total article views: 13,900 (including HTML, PDF, and XML)

HTML	PDF	XML	Total	BibTeX	EndNote
4,817	8,721	362	13,900	308	275

HTML: 4,817
PDF: 8,721
XML: 362
Total: 13,900
BibTeX: 308
EndNote: 275

Views and downloads (calculated since 05 Jul 2013)

Month	HTML	PDF	XML	Total
Jul 2013	55	70	5	130
Aug 2013	17	27	2	46
Sep 2013	16	40	2	58
Oct 2013	22	43	8	73
Nov 2013	31	65	2	98
Dec 2013	78	114	2	194
Jan 2014	66	124	14	204
Feb 2014	51	87	17	155
Mar 2014	41	93	13	147
Apr 2014	59	72	5	136
May 2014	25	57	9	91
Jun 2014	11	66	7	84
Jul 2014	28	61	6	95
Aug 2014	23	64	3	90
Sep 2014	24	90	5	119
Oct 2014	50	68	2	120
Nov 2014	45	55	3	103
Dec 2014	16	70	2	88
Jan 2015	27	34	2	63
Feb 2015	21	30	0	51
Mar 2015	15	42	0	57
Apr 2015	21	26	4	51
May 2015	17	36	5	58
Jun 2015	72	50	4	126
Jul 2015	67	61	7	135
Aug 2015	39	47	5	91
Sep 2015	28	47	2	77
Oct 2015	44	48	4	96
Nov 2015	43	39	0	82
Dec 2015	37	57	0	94
Jan 2016	48	38	0	86
Feb 2016	32	36	0	68
Mar 2016	29	39	0	68
Apr 2016	25	27	1	53
May 2016	23	40	3	66
Jun 2016	19	24	6	49
Jul 2016	21	25	3	49
Aug 2016	20	21	1	42
Sep 2016	29	23	1	53
Oct 2016	22	8	1	31
Nov 2016	19	11	3	33
Dec 2016	7	14	1	22
Jan 2017	25	13	3	41
Feb 2017	17	20	2	39
Mar 2017	40	35	8	83
Apr 2017	42	28	7	77
May 2017	60	28	5	93
Jun 2017	48	29	4	81
Jul 2017	30	15	0	45
Aug 2017	18	32	0	50
Sep 2017	22	35	0	57
Oct 2017	37	38	0	75
Nov 2017	11	42	1	54
Dec 2017	19	52	0	71
Jan 2018	23	43	1	67
Feb 2018	23	44	1	68
Mar 2018	36	56	1	93
Apr 2018	24	59	1	84
May 2018	19	45	2	66
Jun 2018	27	61	2	90
Jul 2018	23	55	2	80
Aug 2018	28	56	1	85
Sep 2018	26	49	1	76
Oct 2018	35	77	3	115
Nov 2018	28	66	2	96
Dec 2018	28	38	0	66
Jan 2019	17	35	0	52
Feb 2019	19	25	0	44
Mar 2019	13	39	0	52
Apr 2019	20	47	1	68
May 2019	13	49	0	62
Jun 2019	5	66	0	71
Jul 2019	22	55	0	77
Aug 2019	20	52	0	72
Sep 2019	13	35	0	48
Oct 2019	18	39	0	57
Nov 2019	15	41	2	58
Dec 2019	13	18	0	31
Jan 2020	29	15	1	45
Feb 2020	21	11	2	34
Mar 2020	26	19	1	46
Apr 2020	18	19	0	37
May 2020	18	21	0	39
Jun 2020	26	32	0	58
Jul 2020	65	57	32	154
Aug 2020	12	17	2	31
Sep 2020	17	28	1	46
Oct 2020	19	18	0	37
Nov 2020	20	14	0	34
Dec 2020	13	25	0	38
Jan 2021	36	27	1	64
Feb 2021	19	30	0	49
Mar 2021	31	37	1	69
Apr 2021	27	33	2	62
May 2021	17	16	1	34
Jun 2021	10	22	0	32
Jul 2021	34	21	2	57
Aug 2021	26	38	3	67
Sep 2021	28	39	9	76
Oct 2021	43	58	5	106
Nov 2021	21	46	3	70
Dec 2021	17	22	7	46
Jan 2022	27	31	6	64
Feb 2022	12	18	2	32
Mar 2022	22	28	1	51
Apr 2022	45	17	1	63
May 2022	47	27	1	75
Jun 2022	42	16	1	59
Jul 2022	39	21	0	60
Aug 2022	57	22	0	79
Sep 2022	51	26	0	77
Oct 2022	51	29	2	82
Nov 2022	68	81	0	149
Dec 2022	53	60	2	115
Jan 2023	48	83	0	131
Feb 2023	58	72	0	130
Mar 2023	47	136	0	183
Apr 2023	46	83	0	129
May 2023	48	206	1	255
Jun 2023	50	139	3	192
Jul 2023	46	236	1	283
Aug 2023	58	68	2	128
Sep 2023	41	129	0	170
Oct 2023	63	116	1	180
Nov 2023	31	56	0	87
Dec 2023	54	191	1	246
Jan 2024	63	219	2	284
Feb 2024	49	136	0	185
Mar 2024	55	204	3	262
Apr 2024	49	281	2	332
May 2024	33	148	9	190
Jun 2024	32	136	1	169
Jul 2024	21	156	4	181
Aug 2024	32	163	0	195
Sep 2024	12	141	0	153
Oct 2024	15	119	1	135
Nov 2024	23	67	4	94
Dec 2024	20	59	1	80
Jan 2025	23	43	0	66
Feb 2025	40	37	1	78
Mar 2025	39	53	4	96
Apr 2025	17	42	0	59
May 2025	23	44	3	70
Jun 2025	37	39	0	76
Jul 2025	23	46	1	70
Aug 2025	54	41	2	97
Sep 2025	47	64	1	112
Oct 2025	40	68	3	111
Nov 2025	44	72	6	122
Dec 2025	20	101	1	122
Jan 2026	49	80	5	134

Cumulative views and downloads (calculated since 05 Jul 2013)

Month	HTML	PDF	XML	Total
Jul 2013	55	70	5	130
Aug 2013	17	27	2	46
Sep 2013	16	40	2	58
Oct 2013	22	43	8	73
Nov 2013	31	65	2	98
Dec 2013	78	114	2	194
Jan 2014	66	124	14	204
Feb 2014	51	87	17	155
Mar 2014	41	93	13	147
Apr 2014	59	72	5	136
May 2014	25	57	9	91
Jun 2014	11	66	7	84
Jul 2014	28	61	6	95
Aug 2014	23	64	3	90
Sep 2014	24	90	5	119
Oct 2014	50	68	2	120
Nov 2014	45	55	3	103
Dec 2014	16	70	2	88
Jan 2015	27	34	2	63
Feb 2015	21	30	0	51
Mar 2015	15	42	0	57
Apr 2015	21	26	4	51
May 2015	17	36	5	58
Jun 2015	72	50	4	126
Jul 2015	67	61	7	135
Aug 2015	39	47	5	91
Sep 2015	28	47	2	77
Oct 2015	44	48	4	96
Nov 2015	43	39	0	82
Dec 2015	37	57	0	94
Jan 2016	48	38	0	86
Feb 2016	32	36	0	68
Mar 2016	29	39	0	68
Apr 2016	25	27	1	53
May 2016	23	40	3	66
Jun 2016	19	24	6	49
Jul 2016	21	25	3	49
Aug 2016	20	21	1	42
Sep 2016	29	23	1	53
Oct 2016	22	8	1	31
Nov 2016	19	11	3	33
Dec 2016	7	14	1	22
Jan 2017	25	13	3	41
Feb 2017	17	20	2	39
Mar 2017	40	35	8	83
Apr 2017	42	28	7	77
May 2017	60	28	5	93
Jun 2017	48	29	4	81
Jul 2017	30	15	0	45
Aug 2017	18	32	0	50
Sep 2017	22	35	0	57
Oct 2017	37	38	0	75
Nov 2017	11	42	1	54
Dec 2017	19	52	0	71
Jan 2018	23	43	1	67
Feb 2018	23	44	1	68
Mar 2018	36	56	1	93
Apr 2018	24	59	1	84
May 2018	19	45	2	66
Jun 2018	27	61	2	90
Jul 2018	23	55	2	80
Aug 2018	28	56	1	85
Sep 2018	26	49	1	76
Oct 2018	35	77	3	115
Nov 2018	28	66	2	96
Dec 2018	28	38	0	66
Jan 2019	17	35	0	52
Feb 2019	19	25	0	44
Mar 2019	13	39	0	52
Apr 2019	20	47	1	68
May 2019	13	49	0	62
Jun 2019	5	66	0	71
Jul 2019	22	55	0	77
Aug 2019	20	52	0	72
Sep 2019	13	35	0	48
Oct 2019	18	39	0	57
Nov 2019	15	41	2	58
Dec 2019	13	18	0	31
Jan 2020	29	15	1	45
Feb 2020	21	11	2	34
Mar 2020	26	19	1	46
Apr 2020	18	19	0	37
May 2020	18	21	0	39
Jun 2020	26	32	0	58
Jul 2020	65	57	32	154
Aug 2020	12	17	2	31
Sep 2020	17	28	1	46
Oct 2020	19	18	0	37
Nov 2020	20	14	0	34
Dec 2020	13	25	0	38
Jan 2021	36	27	1	64
Feb 2021	19	30	0	49
Mar 2021	31	37	1	69
Apr 2021	27	33	2	62
May 2021	17	16	1	34
Jun 2021	10	22	0	32
Jul 2021	34	21	2	57
Aug 2021	26	38	3	67
Sep 2021	28	39	9	76
Oct 2021	43	58	5	106
Nov 2021	21	46	3	70
Dec 2021	17	22	7	46
Jan 2022	27	31	6	64
Feb 2022	12	18	2	32
Mar 2022	22	28	1	51
Apr 2022	45	17	1	63
May 2022	47	27	1	75
Jun 2022	42	16	1	59
Jul 2022	39	21	0	60
Aug 2022	57	22	0	79
Sep 2022	51	26	0	77
Oct 2022	51	29	2	82
Nov 2022	68	81	0	149
Dec 2022	53	60	2	115
Jan 2023	48	83	0	131
Feb 2023	58	72	0	130
Mar 2023	47	136	0	183
Apr 2023	46	83	0	129
May 2023	48	206	1	255
Jun 2023	50	139	3	192
Jul 2023	46	236	1	283
Aug 2023	58	68	2	128
Sep 2023	41	129	0	170
Oct 2023	63	116	1	180
Nov 2023	31	56	0	87
Dec 2023	54	191	1	246
Jan 2024	63	219	2	284
Feb 2024	49	136	0	185
Mar 2024	55	204	3	262
Apr 2024	49	281	2	332
May 2024	33	148	9	190
Jun 2024	32	136	1	169
Jul 2024	21	156	4	181
Aug 2024	32	163	0	195
Sep 2024	12	141	0	153
Oct 2024	15	119	1	135
Nov 2024	23	67	4	94
Dec 2024	20	59	1	80
Jan 2025	23	43	0	66
Feb 2025	40	37	1	78
Mar 2025	39	53	4	96
Apr 2025	17	42	0	59
May 2025	23	44	3	70
Jun 2025	37	39	0	76
Jul 2025	23	46	1	70
Aug 2025	54	41	2	97
Sep 2025	47	64	1	112
Oct 2025	40	68	3	111
Nov 2025	44	72	6	122
Dec 2025	20	101	1	122
Jan 2026	49	80	5	134

Latest update: 30 Jan 2026