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

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Total article views: 14,058 (including HTML, PDF, and XML)

HTML	PDF	XML	Total	BibTeX	EndNote
4,889	8,798	371	14,058	318	283

HTML: 4,889
PDF: 8,798
XML: 371
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EndNote: 283

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	54	89	6	149
Feb 2026	47	51	6	104
Mar 2026	20	17	2	39

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	54	89	6	149
Feb 2026	47	51	6	104
Mar 2026	20	17	2	39

Latest update: 14 Mar 2026