TY - BOOK AU - Grisvard, Pierre TI - Elliptic problems in nonsmooth domains SN - 9781611972023 U1 - 515.782 GRI-P PY - 2011/// CY - Philadelphia PB - Society for Industrial and Applied Mathematics KW - Boundary value problems--Numerical solutions KW - Differential equations, Elliptic--Numerical solutions KW - Rome (Empire) N1 - This classic text focuses on elliptic boundary value problems in domains with nonsmooth boundaries and on problems with mixed boundary conditions. Its contents are essential for an understanding of the behaviour of numerical methods for partial differential equations (PDEs) on two-dimensional domains with corners. Elliptic Problems in Nonsmooth Domains provides a careful and self-contained development of Sobolev spaces on nonsmooth domains, develops a comprehensive theory for second-order elliptic boundary value problems and addresses fourth-order boundary value problems and numerical treatment of singularities. This book is intended for researchers and graduate students in computational science and numerical analysis who work with theoretical and numerical PDEs. Readers need only a background in functional analysis to find the material accessible ER -