Add to ORKGSummary. This note provides a condensed introduction to the adaptive variational method for an elliptic model problem. Key features of the method include a novel and systematic technique for approximating the fine scales using decoupled localized subgrid problems and adaptive algorithms based on a posteriori error estimates.
Abstract. We present a two-scale theoretical framework for approximating the solution of a second or...
This paper constructs a local generalized finite element basis for elliptic problems with heterogene...
In this work we present a general error estimator for the finite element solution of solid mechanics...
The variational multiscale method provides a framework for construction of adaptive multiscale nite ...
In this thesis we present a new adaptive multiscale method for solving elliptic partial differential...
In this thesis we present a new adaptive multiscale method for solving elliptic partial differential...
energy norm, poisson's equation Abstract. The variational multiscale method (VMM) provides a ge...
We present a mixed adaptive variational multiscale method for solving elliptic second order problems...
We give an overview of different methods for solving highly heterogeneous elliptic problems with mul...
We describe a projection framework for developing adaptive multi-scale methods for computing approxi...
Abstract. Second order elliptic problems in divergence form with a highly varying leading order coef...
We develop a discretization and solution technique for elliptic problems whose solutions may present...
In this paper a continuous Galerkin multiscale method (CGMM) and a discontinuous Galerkin multiscale...
In this paper we present the adaptive variational multiscale method for solving the Poisson equation...
In many applications of practical interest, solutions of partial differential equation models arise ...
Abstract. We present a two-scale theoretical framework for approximating the solution of a second or...
This paper constructs a local generalized finite element basis for elliptic problems with heterogene...
In this work we present a general error estimator for the finite element solution of solid mechanics...
The variational multiscale method provides a framework for construction of adaptive multiscale nite ...
In this thesis we present a new adaptive multiscale method for solving elliptic partial differential...
In this thesis we present a new adaptive multiscale method for solving elliptic partial differential...
energy norm, poisson's equation Abstract. The variational multiscale method (VMM) provides a ge...
We present a mixed adaptive variational multiscale method for solving elliptic second order problems...
We give an overview of different methods for solving highly heterogeneous elliptic problems with mul...
We describe a projection framework for developing adaptive multi-scale methods for computing approxi...
Abstract. Second order elliptic problems in divergence form with a highly varying leading order coef...
We develop a discretization and solution technique for elliptic problems whose solutions may present...
In this paper a continuous Galerkin multiscale method (CGMM) and a discontinuous Galerkin multiscale...
In this paper we present the adaptive variational multiscale method for solving the Poisson equation...
In many applications of practical interest, solutions of partial differential equation models arise ...
Abstract. We present a two-scale theoretical framework for approximating the solution of a second or...
This paper constructs a local generalized finite element basis for elliptic problems with heterogene...
In this work we present a general error estimator for the finite element solution of solid mechanics...