TY - CHAP
T1 - Mixed FEM for Second Order Elliptic Problems on Polygonal Meshes with BEM-Based Spaces
AU - Efendiev, Yalchin R.
AU - Galvis, Juan
AU - Lazarov, Raytcho
AU - Weißer, Steffen
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: The research of Y. Efendiev, J. Galvis, and R. Lazarov has beensupported in parts by award KUS-C1-016-04, made by King Abdullah University ofScience and Technology (KAUST). R. Lazarov is also supported in part by the awardmade by NSF DMS-1016525. Y. Efendiev would like to acknowledge a partial supportfrom NSF (724704, 0811180, 0934837) and DOE.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2014/6/26
Y1 - 2014/6/26
N2 - We present a Boundary Element Method (BEM)-based FEM for mixed formulations of second order elliptic problems in two dimensions. The challenge, we would like to address, is a proper construction of H(div)-conforming vector valued trial functions on arbitrary polygonal partitions of the domain. The proposed construction generates trial functions on polygonal elements which inherit some of the properties of the unknown solution. In the numerical realization, the relevant local problems are treated by means of boundary integral formulations. We test the accuracy of the method on two model problems. © 2014 Springer-Verlag.
AB - We present a Boundary Element Method (BEM)-based FEM for mixed formulations of second order elliptic problems in two dimensions. The challenge, we would like to address, is a proper construction of H(div)-conforming vector valued trial functions on arbitrary polygonal partitions of the domain. The proposed construction generates trial functions on polygonal elements which inherit some of the properties of the unknown solution. In the numerical realization, the relevant local problems are treated by means of boundary integral formulations. We test the accuracy of the method on two model problems. © 2014 Springer-Verlag.
UR - http://hdl.handle.net/10754/598843
UR - http://link.springer.com/10.1007/978-3-662-43880-0_37
UR - http://www.scopus.com/inward/record.url?scp=84904134883&partnerID=8YFLogxK
U2 - 10.1007/978-3-662-43880-0_37
DO - 10.1007/978-3-662-43880-0_37
M3 - Chapter
SN - 9783662438794
SP - 331
EP - 338
BT - Lecture Notes in Computer Science
PB - Springer Nature
ER -