Stability and error estimation of \(\theta\)-difference finite element method with C-Bézier basis
DOI10.1007/s12190-023-01943-yzbMATH Open1543.65161MaRDI QIDQ6578217
Fangming Su, Lan-Yin Sun, Siya Wen
Publication date: 25 July 2024
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
parabolic equationsC-Bézier basis functionstability and error estimation\(\theta\)-difference finite element method
Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Computer-aided design (modeling of curves and surfaces) (65D17)
Cites Work
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- Convergence rates to asymptotic profile for solutions of quasilinear hyperbolic equations with nonlinear damping
- Parabolic equations with dynamical boundary conditions and source terms on interfaces
- Local solvability of a fully nonlinear parabolic equation
- A fictitious domain method with distributed Lagrange multiplier for parabolic problems with moving interfaces
- Galerkin finite element methods for parabolic problems
- A moving mesh finite element algorithm for singular problems in two and three space dimensions
- A weak Galerkin finite element method for second-order elliptic problems
- Large-time behavior of solutions of parabolic equations on the real line with convergent initial data. II: Equal limits at infinity
- Study of the backward difference and local discontinuous Galerkin (LDG) methods for solving fourth-order partial integro-differential equations (PIDEs) with memory terms: stability analysis
- Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model
- Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow
- Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems
- Long-time dynamics of 2D double-diffusive convection: analysis and/of numerics
- A class of Bézier-like curves
- Error-bounds for finite element method
- Solution to the forward and backward stochastic difference equations with asymmetric information and application
- Direct and inverse problem for the parabolic equation with initial value and time-dependent boundaries
- Convergence of the Forward Euler Method for Nonconvex Differential Inclusions
- Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model
- On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D
- Error estimates of finite difference methods for the biharmonic nonlinear Schrödinger equation
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