Nodally exact Ritz discretizations of 1D diffusion-absorption and Helmholtz equations by variational FIC and modified equation methods
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Publication:835455
DOI10.1007/s00466-005-0011-zzbMath1168.76336OpenAlexW1965695683WikidataQ59486059 ScholiaQ59486059MaRDI QIDQ835455
Eugenio Oñate, Carlos A. Felippa
Publication date: 28 August 2009
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-005-0011-z
templatesdiffusionvariational principlesstabilizationfinite elementRitz methodabsorptionHelmholtzfinite calculusfunctional modificationmodified differential equationnodally exact solution
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Cites Work
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- A Fourier analysis of spurious mechanisms and locking in the finite element method
- 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
- The modified equation approach to the stability and accuracy analysis of finite-difference methods
- Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems
- Multiscale computational analysis in mechanics using finite calculus: an introduction.
- The discontinuous enrichment method for multiscale analysis.
- A stabilized finite element method for incompressible viscous flows using a finite increment calculus formulation
- Variational methods in nonconservative phenomena
- Stabilized formulation for the advection-diffusion-absorption equation using finite calculus and linear finite elements
- Heuristic stability theory for finite-difference equations
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Possibilities of finite calculus in computational mechanics
- Error Analysis of Direct Methods of Matrix Inversion
- A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
- Residual-free bubbles for the Helmholtz equation
- Unusual stabilized finite element methods and residual free bubbles
- Computation of the stabilization parameter for the finite element solution of advective-diffusive problems
- A residual correction method based on finite calculus
- On the Scope of the Method of Modified Equations
- Finite calculus formulation for incompressible solids using linear triangles and tetrahedra
- A general procedure for deriving stabilized space-time finite element methods for advective-diffusive problems
- Exact solution of certain problems by finite- element method.
- The discontinuous enrichment method
- A finite element method for fluid-structure interaction with surface waves using a finite calculus formulation
