Galerkin Finite Element Methods for Parabolic Problems
Thomée, Vidar.
Galerkin Finite Element Methods for Parabolic Problems [electronic resource] / by Vidar Thomée. - VI, 238 p. online resource. - Lecture Notes in Mathematics, 1054 0075-8434 ; . - Lecture Notes in Mathematics, 1054 .
The standard Galerkin method -- Semidiscrete methods based on more general approximations of the elliptic problem -- Smooth and non-smooth data error estimates for the homogeneous equation -- Parabolic equations with more general elliptic operators -- Maximum-Norm estimates -- Negative norm estimates and superconvergence -- Completely discrete schemes for the homogeneous equation -- Completely discrete schemes for the inhomogeneous equation -- Time discretization by the discontinuous Galerkin method -- A nonlinear problem -- The method of lumped masses -- The H1 and H?1 methods -- A mixed method -- A singular problem.
9783540387930
10.1007/BFb0071790 doi
Numerical analysis.
Numerical Analysis.
QA297-299.4
518
Galerkin Finite Element Methods for Parabolic Problems [electronic resource] / by Vidar Thomée. - VI, 238 p. online resource. - Lecture Notes in Mathematics, 1054 0075-8434 ; . - Lecture Notes in Mathematics, 1054 .
The standard Galerkin method -- Semidiscrete methods based on more general approximations of the elliptic problem -- Smooth and non-smooth data error estimates for the homogeneous equation -- Parabolic equations with more general elliptic operators -- Maximum-Norm estimates -- Negative norm estimates and superconvergence -- Completely discrete schemes for the homogeneous equation -- Completely discrete schemes for the inhomogeneous equation -- Time discretization by the discontinuous Galerkin method -- A nonlinear problem -- The method of lumped masses -- The H1 and H?1 methods -- A mixed method -- A singular problem.
9783540387930
10.1007/BFb0071790 doi
Numerical analysis.
Numerical Analysis.
QA297-299.4
518