Convergence of a homotopy finite element method for computing steady states of Burgers’ equation
DOI10.1051/m2an/2018046zbMath1446.65092OpenAlexW2883708086WikidataQ129495908 ScholiaQ129495908MaRDI QIDQ4972106
Publication date: 22 November 2019
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/m2an/2018046
KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
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- A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws
- Bifurcation for a free boundary problem modeling the growth of a tumor with a necrotic core
- Computing steady-state solutions for a free boundary problem modeling tumor growth by Stokes equation
- A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations
- Entropy viscosity method for nonlinear conservation laws
- Non-oscillatory central differencing for hyperbolic conservation laws
- Convergence to steady state of solutions of Burgers' equation
- Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
- Multiple steady states for characteristic initial value problems
- Theory and practice of finite elements.
- A Second-Order Maximum Principle Preserving Lagrange Finite Element Technique for Nonlinear Scalar Conservation Equations
- Invariant Domains and First-Order Continuous Finite Element Approximation for Hyperbolic Systems
- First order quasilinear equations with boundary conditions
- Weak formulation of boundary conditions for scalar conservation laws: an application to highway traffic modelling
- deal.II—A general-purpose object-oriented finite element library
- The Numerical Solution of Systems of Polynomials Arising in Engineering and Science
- Newton-Type Methods for Optimization and Variational Problems
- The partial differential equation ut + uux = μxx
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
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