Discontinuous Galerkin methods for network patterning phase-field models
DOI10.1007/s10915-023-02423-yMaRDI QIDQ6178635
No author found.
Publication date: 16 January 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
backward difference formuladiscontinuous Galerkinscalar auxiliary variablebiological network patterning
PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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) Developmental biology, pattern formation (92C15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
- Notes on a PDE system for biological network formation
- On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations
- Adaptive discontinuous Galerkin methods in multiwavelets bases
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks
- Energy-production-rate preserving numerical approximations to network generating partial differential equations
- ODE- and PDE-based modeling of biological transportation networks
- A high-order discontinuous Galerkin discretization with multiwavelet-based grid adaptation for compressible flows
- Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations
- 3D simulations of early blood vessel formation
- Multiwavelet discontinuous Galerkin \(h\)-adaptive shallow water model
- Energy conserving discontinuous Galerkin method with scalar auxiliary variable technique for the nonlinear Dirac equation
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Biological transportation networks: Modeling and simulation
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Mathematical Analysis of a PDE System for Biological Network Formation
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- On the SAV‐DG method for a class of fourth order gradient flows
This page was built for publication: Discontinuous Galerkin methods for network patterning phase-field models