Galerkin projected residual method applied to diffusion-reaction problems
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Publication:2638079
DOI10.1016/j.cma.2008.05.021zbMath1194.76113OpenAlexW2017853693MaRDI QIDQ2638079
Eduardo Gomes Dutra Do Carmo, Gustavo Benitez Alvarez, Abimael Fernando Dourado Loula, Fernando Alves Rochinha
Publication date: 14 September 2010
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2008.05.021
finite element methodstabilizationdiffusion-reaction equationGLSsecond-order boundary value problemsGPR
Diffusion (76R50) Finite element methods applied to problems in fluid mechanics (76M10) Reaction effects in flows (76V05)
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Cites Work
- A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
- Finite element methods for linear hyperbolic problems
- A new upwind function in stabilized finite element formulations, using linear and quadratic elements for scalar convection-diffusion problems
- Edge stabilization for Galerkin approximations of convection-diffusion-reaction problems
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- The Galerkin gradient least-squares method
- A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
- Development of an adaptive discontinuous-Galerkin finite element method for advection-reaction equations
- A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
- Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A relationship between stabilized finite element methods and the Galerkin method with bubble functions
- Finite element methods for the Helmholtz equation in an exterior domain: Model problems
- Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains
- Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
- Finite element analysis of acoustic scattering
- A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems
- A Petrov-Galerkin formulation for advection-reaction-diffusion problems
- A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
- A new stabilized finite element formulation for scalar convection-diffusion problems: the streamline and approximate upwind/Petrov-Galerkin method.
- Implicit interpolation error-based error estimation for reaction-diffusion equations in two space dimensions.
- The nearly-optimal Petrov-Galerkin method for convection-diffusion problems.
- Bubble functions prompt unusual stabilized finite element methods.
- On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
- On stabilized finite element formulations for incompressible advective-diffusive transport and fluid flow problems
- A posteriori error estimators for stationary convection-diffusion problems: A computational comparison
- Finite element stabilization parameters computed from element matrices and vectors
- A numerical study of a posteriori error estimators for convection-diffusion equations
- Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems
- A simple subgrid scale stabilized method for the advection-diffusion-reaction equation
- A multigrid preconditioner for stabilised discretisations of advection-diffusion problems
- Adaptive finite element methods for systems of reaction-diffusion equations
- On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation
- Finite element solution of the Helmholtz equation with high wave number. I: The \(h\)-version of the FEM
- Combining stabilized finite element methods
- Modified streamline diffusion schemes for convection-diffusion problems
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems
- A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
- A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
- Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
- SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
- Convergence analysis of a discontinuous finite element formulation based on second-order derivatives
- A discontinuous finite element formulation for Helmholtz equation
- A discontinuous finite element method at element level for Helmholtz equation
- Multiscale finite element modeling of diffusion-reaction equation using bubble functions with bilinear and triangular elements
- Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
- Stabilized element residual method (SERM): A posteriori error estimation for the advection-diffusion equation
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Finite element procedures for time-dependent convection-diffusion-reaction systems
- Stabilized Finite Element Formulations for Incompressible Flow Computations
- A two-level finite element method and its application to the Helmholtz equation
- Residual-free bubbles for the Helmholtz equation
- Computation of moving boundaries and interfaces and stabilization parameters
- A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
- COMBINING ADJOINT STABILIZED METHODS FOR THE ADVECTION-DIFFUSION-REACTION PROBLEM
- Equivalent Norms for Sobolev Spaces
- A stabilized finite element method for generalized stationary incompressible flows
- The space-continuous-discontinuous Galerkin method
- The discontinuous enrichment method
- Variational subgrid scale formulations for the advection-diffusion-reaction equation
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