Zobrazeno 1 - 10
of 180
pro vyhledávání: '"Erik Burman"'
Autor:
Erik Burman
Publikováno v:
Selecciones Matemáticas, Vol 10, Iss 01, Pp 16-28 (2023)
We revisit the celebrated Kohn-Vogelius penalty method and discuss how to use it for the unique continuation problem where data is given in the bulk of the domain. We then show that the primal-dual mixed finite element methods for the elliptic Cauchy
Externí odkaz:
https://doaj.org/article/ccc7c79711b34e3b9dd6af24ccbcbfdc
Publikováno v:
Advanced Modeling and Simulation in Engineering Sciences, Vol 7, Iss 1, Pp 1-20 (2020)
Abstract We present and analyze a method for thin plates based on cut Bogner-Fox-Schmit elements, which are $$C^1$$ C 1 elements obtained by taking tensor products of Hermite splines. The formulation is based on Nitsche’s method for weak enforcemen
Externí odkaz:
https://doaj.org/article/ce2ff75ea92c44a4a9335d313fc1b85f
Autor:
Erik Burman
Publikováno v:
SIAM Journal on Scientific Computing. 45:A96-A122
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d889d530b46d189f88b2cb89aded97a6
https://doi.org/10.1137/21m1464154
https://doi.org/10.1137/21m1464154
Publikováno v:
Vietnam Journal of Mathematics. 51:37-69
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0cf09665f955384948e9b94328be0a9
https://doi.org/10.1007/s10013-022-00589-w
https://doi.org/10.1007/s10013-022-00589-w
Publikováno v:
SIAM Journal on Scientific Computing. 44:A2895-A2917
We consider boundary element methods where the Calder\'on projector is used for the system matrix and boundary conditions are weakly imposed using a particular variational boundary operator designed using techniques from augmented Lagrangian methods.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02760bff23ec5a17e3321c4f1c7bb8ed
https://doi.org/10.1137/20m1334802
https://doi.org/10.1137/20m1334802
Autor:
Erik Burman, Janosch Preuss
Publikováno v:
GEM - International Journal on Geomathematics. 14
We introduce an arbitrary order, stabilized finite element method for solving a unique continuation problem subject to the time-harmonic elastic wave equation with variable coefficients. Based on conditional stability estimates we prove convergence r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c2c43754523704a0b3b77af32b5736c
https://doi.org/10.1007/s13137-023-00220-1
https://doi.org/10.1007/s13137-023-00220-1
Publikováno v:
Journal of Inverse and Ill-posed Problems.
In this paper, we analyze the stability of the system of partial differential equations modelling scalar image velocimetry. We first revisit a successful numerical technique to reconstruct velocity vectors u {{u}} from images of a passive scalar fiel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac18d868a1b15e264d4513057f046a43
https://doi.org/10.1515/jiip-2020-0107
https://doi.org/10.1515/jiip-2020-0107
In this paper we will present a review of recent advances in the application of the augmented Lagrange multiplier method as a general approach for generating multiplier-free stabilised methods. The augmented Lagrangian method consists of a standard L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aec10cb467a0c799da43a94e2873ded4
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-204392
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-204392
Publikováno v:
Numerical Methods for Partial Differential Equations. 38:1396-1406
We analyze a splitting method for a canonical fluid structure interaction problem. The splittling method uses a Robin-Robin boundary condition, explicit strategy. We prove the method is stable and, furthermore, we provide an error estimate that shows
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9c0a34768cfafc6bf9239e47d741b5f
https://doi.org/10.1002/num.22840
https://doi.org/10.1002/num.22840
Publikováno v:
Communications on Applied Mathematics and Computation. 4:597-633
We devise hybrid high-order (HHO) methods for the acoustic wave equation in the time domain. We first consider the second-order formulation in time. Using the Newmark scheme for the temporal discretization, we show that the resulting HHO-Newmark sche
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d8896aadd0ac80c5ee9a3549a59ed94
https://doi.org/10.1007/s42967-021-00131-8
https://doi.org/10.1007/s42967-021-00131-8