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Description
| - We present a general numerical method for computing guaranteed two-sided bounds for principal eigenvalues of symmetric linear elliptic differential operators. The approach is based on the Galerkin method, on the method of a priori-a posteriori inequalities, and on a complementarity technique. The two-sided bounds are formulated in a general Hilbert space setting and as a byproduct we prove an abstract inequality of Friedrichs-Poincare type. The abstract results are then applied to Friedrichs, Poincare, and trace inequalities and fully computable two-sided bounds on the optimal constants in these inequalities are obtained. Accuracy of the method is illustrated in numerical examples.
- We present a general numerical method for computing guaranteed two-sided bounds for principal eigenvalues of symmetric linear elliptic differential operators. The approach is based on the Galerkin method, on the method of a priori-a posteriori inequalities, and on a complementarity technique. The two-sided bounds are formulated in a general Hilbert space setting and as a byproduct we prove an abstract inequality of Friedrichs-Poincare type. The abstract results are then applied to Friedrichs, Poincare, and trace inequalities and fully computable two-sided bounds on the optimal constants in these inequalities are obtained. Accuracy of the method is illustrated in numerical examples. (en)
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Title
| - TWO-SIDED BOUNDS FOR EIGENVALUES OF DIFFERENTIAL OPERATORS WITH APPLICATIONS TO FRIEDRICHS, POINCARE, TRACE, AND SIMILAR CONSTANTS
- TWO-SIDED BOUNDS FOR EIGENVALUES OF DIFFERENTIAL OPERATORS WITH APPLICATIONS TO FRIEDRICHS, POINCARE, TRACE, AND SIMILAR CONSTANTS (en)
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skos:prefLabel
| - TWO-SIDED BOUNDS FOR EIGENVALUES OF DIFFERENTIAL OPERATORS WITH APPLICATIONS TO FRIEDRICHS, POINCARE, TRACE, AND SIMILAR CONSTANTS
- TWO-SIDED BOUNDS FOR EIGENVALUES OF DIFFERENTIAL OPERATORS WITH APPLICATIONS TO FRIEDRICHS, POINCARE, TRACE, AND SIMILAR CONSTANTS (en)
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skos:notation
| - RIV/00216208:11320/14:10283100!RIV15-MSM-11320___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/00216208:11320/14:10283100
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Hilbert space; trace inequality; Poincare inequality; Friedrichs inequality; optimal constant; a posteriori error estimate; bounds on spectrum (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - SIAM Journal on Numerical Analysis
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Vejchodský, Tomáš
- Šebestová, Ivana
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
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http://localhost/t...ganizacniJednotka
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