Invariant region property of weak Galerkin method for semilinear parabolic equations

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

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Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
A weak Galerkin finite element scheme for the biharmonic equations by using polynomials of reduced order
Discrete maximum principle for the \(P_{1}\)-\(P_{0}\) weak Galerkin finite element approximations
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Weak Galerkin method for the coupled Darcy–Stokes flow
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
Weak Galerkin finite element methods for elliptic PDEs
The Weak Galerkin Method for Elliptic Eigenvalue Problems
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A New Weak Galerkin Finite Element Scheme for the Brinkman Model
Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
A weak Galerkin finite element method for the Stokes equations

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