An integral equation method for the advection-diffusion equation on time-dependent domains in the plane
From MaRDI portal
Publication:2683075
DOI10.1016/j.jcp.2022.111856OpenAlexW4311432968MaRDI QIDQ2683075
Anna-Karin Tornberg, Sara Pålsson, Fredrik Fryklund
Publication date: 3 February 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.08825
integral equationsadvection-diffusion equationmodified Helmholtz equationtime-dependent geometryfunction extension
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral accuracy in fast Ewald-based methods for particle simulations
- Fast Ewald summation for free-space Stokes potentials
- Spectrally accurate fast summation for periodic Stokes potentials
- Fast integral equation methods for the modified Helmholtz equation
- A fast integral equation method for the two-dimensional Navier-Stokes equations
- The Yukawa potential
- The electric potential of a macromolecule in a solvent: A fundamental approach
- Rothe's method for the heat equation and boundary integral equations
- Spectral deferred correction methods for ordinary differential equations
- A highly accurate boundary integral equation method for surfactant-laden drops in 3D
- A fast integral equation method for solid particles in viscous flow using quadrature by expansion
- Partition of unity extension of functions on complex domains
- An adaptive kernel-split quadrature method for parameter-dependent layer potentials
- A stable and accurate scheme for solving the Stefan problem coupled with natural convection using the immersed boundary smooth extension method
- An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains
- An integral equation-based numerical method for the forced heat equation on complex domains
- A cut finite element method for incompressible two-phase Navier-Stokes flows
- Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow
- Fast high-order integral equation methods for solving boundary value problems of two dimensional heat equation in complex geometry
- An accurate integral equation method for simulating multi-phase Stokes flow
- On the evaluation of layer potentials close to their sources
- Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions
- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- Stable Computations with Gaussian Radial Basis Functions
- High Order Accurate Methods for the Evaluation of Layer Heat Potentials
- A Fast Adaptive Multipole Algorithm for Particle Simulations
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- Spectral Methods in MATLAB
- A Least Squares Radial Basis Function Partition of Unity Method for Solving PDEs
- Accelerating the Nonuniform Fast Fourier Transform
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- An Eulerian finite element method for PDEs in time-dependent domains
- Linear integral equations
- A fast algorithm for particle simulations