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Showing 1 to 6 of 6 for “"Stabilized methods"”.
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Stabilized Finite Element Formulations for Flow Problems
This work focuses on developing novel stabilized finite element formulations for flow problems suitable for monolithic approaches to fluid-structure interaction. In addition to the challenges produced by the poor performance of the classical Galerkin method for mixed finite elements, monolithic …
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An efficient finite element method for embedded interface problems
… method for interface problems. Finite element methods are severely constrained in their ability to resolve interfaces. Many of these limitations stem from their inability in independently representing interface geometry from the underlying discretization. We propose an approach that facilitates …
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A variational multiscale computational framework for reaction-dominated thermo-chemo-mechanical process modeling in multi-constituent material systems
… (i) new robust variational multi-scale numerical methods that are consistently derived, and (ii) models for multi-physics processes in multi-constituent materials. New robust numerical methods are developed via the variational multiscale (VMS) framework. Through the concept of fine scales in VMS, …
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A variational framework for mathematically nonsmooth problems in solid and structure mechanics
DSpace SAF Submission Ingestion Package generated from Vireo submission #12823 on 2018-09-27 at 11:36:48
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A stabilized discontinuous Galerkin method for variational embedding of physics-based data
A stabilized variational framework that admits overlapping as well as non overlapping coupling of domains for a variety of Partial Differential Equations (PDEs) is employed in this work. This method accommodates non-matching meshes across the interfaces between the subdomain boundaries and allows …
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A variational multiscale computational framework for nonlinear interfacial solid mechanics
… from interfaces. The framework consists of a stabilized version of the Discontinuous Galerkin method to handle interfaces combined with a stabilized mixed method for elasticity with a built-in error estimation module. The unifying approach for deriving these components is the Variational …