Ebook: Galerkin Finite Element Methods for Parabolic Problems

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Content:
Front Matter....Pages -
The standard Galerkin method....Pages 1-16
Semidiscrete methods based on more general approximations of the elliptic problem....Pages 17-32
Smooth and non-smooth data error estimates for the homogeneous equation....Pages 33-48
Parabolic equations with more general elliptic operators....Pages 49-61
Maximum-Norm estimates....Pages 62-75
Negative norm estimates and superconvergence....Pages 76-91
Completely discrete schemes for the homogeneous equation....Pages 92-105
Completely discrete schemes for the inhomogeneous equation....Pages 106-125
Time discretization by the discontinuous Galerkin method....Pages 126-148
A nonlinear problem....Pages 149-165
The method of lumped masses....Pages 166-186
The H1 and H?1 methods....Pages 187-204
A mixed method....Pages 205-220
A singular problem....Pages 221-235
Back Matter....Pages -

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Content:
Front Matter....Pages -
The standard Galerkin method....Pages 1-16
Semidiscrete methods based on more general approximations of the elliptic problem....Pages 17-32
Smooth and non-smooth data error estimates for the homogeneous equation....Pages 33-48
Parabolic equations with more general elliptic operators....Pages 49-61
Maximum-Norm estimates....Pages 62-75
Negative norm estimates and superconvergence....Pages 76-91
Completely discrete schemes for the homogeneous equation....Pages 92-105
Completely discrete schemes for the inhomogeneous equation....Pages 106-125
Time discretization by the discontinuous Galerkin method....Pages 126-148
A nonlinear problem....Pages 149-165
The method of lumped masses....Pages 166-186
The H1 and H?1 methods....Pages 187-204
A mixed method....Pages 205-220
A singular problem....Pages 221-235
Back Matter....Pages -
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