Galerkin Finite Element Methods for Parabolic Problems

1. The Standard Galerkin Method
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2. Methods Based on More General Approximations of the Elliptic Problem
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3. Nonsmooth Data Error Estimates
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4. More General Parabolic Equations
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5. Negative Norm Estimates and Superconvergence
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6. Maximum-Norm Estimates and Analytic Semigroups
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7. Single Step Fully Discrete Schemes for the Homogeneous Equation
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8. Single Step Fully Discrete Schemes for the Inhomogeneous Equation
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9. Single Step Methods and Rational Approximations of Semigroups
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10. Multistep Backward Difference Methods
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11. Incomplete Iterative Solution of the Algebraic Systems at the Time Levels
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12. The Discontinuous Galerkin Time Stepping Method
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13. A Nonlinear Problem
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14. Semilinear Parabolic Equations
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15. The Method of Lumped Masses
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16. The H1 and H-1 Methods
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17. A Mixed Method
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18. A Singular Problem
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19. Problems in Polygonal Domains
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20. Time Discretization by Laplace Transformation and Quadrature
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Avainsanat: MATHEMATICS / General MAT000000