A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation (Q2514240)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation |
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A posteriori error control and adaptivity for Crank-Nicolson finite element approximations for the linear Schrödinger equation (English)
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3 February 2015
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The authors ``derive an optimal-order a posteriori error estimate for fully discrete approximations of linear Schrödinger-type equations''. The derivation of the estimators is based on a novel elliptic reconstruction that leads to estimates which reflect the physical properties of Schrödinger equations. Numerical examples are also discussed.
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linear Schrödinger equation
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Crank-Nicolson method
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finite element method
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residual-type estimators
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a posteriori error estimates
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numerical examples
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