Titlebook: Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential ; Gabriel R. Barrenechea,Franco Brezzi

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书目名称Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential 影响因子(影响力)学科排名




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起波澜

平淡而无味

Variational Multiscale Stabilization and the Exponential Decay of Fine-Scale Correctors,. The stabilization eliminates scale-dependent pre-asymptotic effects as they appear for standard finite element discretizations of highly oscillatory problems, e.g., the poor .. approximation in homogenization problems or the pollution effect in high-frequency acoustic scattering.

plasma

1439-7358 carrying out at present.The main developments in recent appThis volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in Jul

ectropion

Concluding Thoughts and a New Beginning,rem fails. We pay particular attention to ill-posed problems that have some conditional stability property and prove (conditional) error estimates in an abstract framework. As a model problem we consider the elliptic Cauchy problem and provide a complete numerical analysis for this case. Some numerical examples are given to illustrate the theory.

稀释前

ALT

Incompetent

Stabilised Finite Element Methods for Ill-Posed Problems with Conditional Stability,rem fails. We pay particular attention to ill-posed problems that have some conditional stability property and prove (conditional) error estimates in an abstract framework. As a model problem we consider the elliptic Cauchy problem and provide a complete numerical analysis for this case. Some numerical examples are given to illustrate the theory.

召集

Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Devde comparisons with several other types of numerical methods commonly used for similar or related problems. For the comparison, we concentrate mainly on the methods presented in the London Mathematical Society EPSRC Durham Symposium on Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations.

盘旋

Foundations of the MHM Method,d, as well as with some recent multiscale methods. We demonstrate the reach of the approach by revisiting the wellposedness and error analysis of the MHM method applied to the Laplace problem. In the process, we devise new theoretical results for this model.