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Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods

https://doi.org/10.1007/bfb0120591

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Interior penalty discontinuous Galerkin FEMs for a gradient beam and CNTs

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A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem

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Stabilized discontinuous finite element approximations for Stokes equations

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Estimation of penalty parameters for symmetric interior penalty Galerkin methods

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A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation

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Discontinuous Galerkin methods for the chemotaxis and haptotaxis models

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A two-mesh adaptive mesh refinement technique for SN neutral-particle transport using a higher-order DGFEM

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A discontinuous mixed covolume method for elliptic problems

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Higher order weakly over-penalized symmetric interior penalty methods

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On the stability of the symmetric interior penalty method for the Spalart–Allmaras turbulence model

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A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem

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Discontinuous Galerkin immersed finite element methods for parabolic interface problems

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Error estimates for transport problems with high Péclet number using a continuous dependence assumption

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A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients

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A combined finite element method for elliptic problems posted in domains with rough boundaries

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A priori and a posterior error estimate of new weak Galerkin finite element methods for second order elliptic interface problems on polygonal meshes

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IPCDGM and multiscale IPDPGM for the Helmholtz problem with large wave number

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A stabilizer-free weak Galerkin finite element method on polytopal meshes

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Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number

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An extended P1-nonconforming finite element method on general polytopal partitions

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Low regularity primal–dual weak Galerkin finite element methods for convection–diffusion equations

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Numerical simulation of incompressible fluid flow using locally solenoidal elements

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A BDDC algorithm for a class of staggered discontinuous Galerkin methods

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Pre-asymptotic error analysis of hp -interior penalty discontinuous Galerkin methods for the Helmholtz equation with large wave number

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Uniform supercloseness of Galerkin finite element method for convection–diffusion problems with characteristic layers

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Discontinuous Galerkin Isogeometric Analysis for the biharmonic equation

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Unfitted extended finite elements for composite grids

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Conforming and discontinuous Galerkin FEM in space for solving parabolic obstacle problem

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FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods

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Adaptive stabilized finite elements via residual minimization onto bubble enrichments

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Optimal error estimates of nonconforming Wilson element for nonlinear nonlocal parabolic problems

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Edge stabilization for Galerkin approximations of convection–diffusion–reaction problems

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Stabilization mechanisms in discontinuous Galerkin finite element methods

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Anisotropic and dynamic mesh adaptation for discontinuous Galerkin methods applied to reactive transport

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Discontinuous Galerkin approximation of the Laplace eigenproblem

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A discontinuous finite element formulation for Helmholtz equation

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hp-version interior penalty DGFEMs for the biharmonic equation

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Stabilized finite element methods for the generalized Oseen problem

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Interior penalty variational multiscale method for the incompressible Navier–Stokes equation: Monitoring artificial dissipation

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Continuum modeling of supply chain networks using discontinuous Galerkin methods

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Modeling of convection-dominated thermoporomechanics problems using incomplete interior penalty Galerkin method

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On a coupled discontinuous/continuous Galerkin framework and an adaptive penalty scheme for poroelasticity problems

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A fast convergent rate preserving discontinuous Galerkin framework for rate-independent plasticity problems

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Discontinuous subgrid formulations for transport problems

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An assessment of discretizations for convection-dominated convection–diffusion equations

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Numerical multiscale methods for a reaction-dominated model

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On the spatial formulation of discontinuous Galerkin methods for finite elastoplasticity

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Continuous/discontinuous Galerkin methods applied to elasticity problems

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A global–local discontinuous Galerkin shell finite element for small-deformation analysis of multi-layered composites

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A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier–Stokes equations

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