Cover Image

Asymptotic-preserving finite element analysis of Westervelt-type wave equations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Nikolić, Vanja
Format:	Preprint
Published:	2023
Subjects:	Numerical Analysis 35L72, 65M60
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Combined DG-CG finite element method for the Westervelt equation
by: Gómez, Sergio, et al.
Published: (2024)

Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit
by: Dörich, Benjamin, et al.
Published: (2024)

Asymptotic-preserving hybridizable discontinuous Galerkin method for the Westervelt quasilinear wave equation
by: Gómez, Sergio, et al.
Published: (2024)

Space-time finite element methods for nonlinear wave equations via elliptic regularisation
by: Banjai, Lehel, et al.
Published: (2025)

Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data
by: Danumjaya, P., et al.
Published: (2023)

Finite element discretization of nonlinear models of ultrasound heating
by: Careaga, Julio, et al.
Published: (2025)

A variational approach to the analysis of the continuous space-time FEM for the wave equation
by: Gómez, Sergio
Published: (2025)

Second-order invariant-domain preserving approximation to the multi-species Euler equations
by: Clayton, Bennett, et al.
Published: (2025)

Radial perfectly matched layers and infinite elements for the anisotropic wave equation
by: Halla, Martin, et al.
Published: (2024)

Limiting behavior of quasilinear wave equations with fractional-type dissipation
by: Kaltenbacher, Barbara, et al.
Published: (2022)

Mathematical models for nonlinear ultrasound contrast imaging with microbubbles
by: Nikolić, Vanja, et al.
Published: (2024)

A space-time continuous and coercive formulation for the wave equation
by: Bignardi, Paolo, et al.
Published: (2023)

Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations
by: Hoffart, Jordan, et al.
Published: (2025)

Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
by: Guermond, Jean-Luc, et al.
Published: (2026)

Multiharmonic algorithms for contrast-enhanced ultrasound
by: Nikolić, Vanja, et al.
Published: (2025)

Deterministic particle method for nonlinear nonlocal scalar balance equations
by: Radici, Emanuela, et al.
Published: (2024)

Numerical analysis of a time-stepping method for the Westervelt equation with time-fractional damping
by: Baker, Katherine, et al.
Published: (2022)

Asymptotic Preserving Linearly Implicit Additive IMEX-RK Finite Volume Schemes for Low Mach Number Isentropic Euler Equations
by: Samantaray, Saurav
Published: (2024)

A conservative invariant-domain preserving projection technique for hyperbolic systems under adaptive mesh refinement
by: Harmon, Jake, et al.
Published: (2025)

A High-Order Compact Hermite Difference Method for Double-Diffusive Convection
by: Yang, Jianqing, et al.
Published: (2025)

Preconditioning of the generalized Stokes problem arising from the approximation of the time-dependent Navier-Stokes equations
by: Creff, Melvin, et al.
Published: (2024)

A structure-preserving relaxation Crank-Nicolson finite element method for the Schrödinger-Poisson equation
by: Liu, Huini, et al.
Published: (2024)

Error analysis of scalar auxiliary variable finite element methods for the Landau--Lifshitz--Bloch equation
by: Soenjaya, Agus L.
Published: (2026)

Asymptotic-preserving and positivity-preserving discontinuous Galerkin method for the semiconductor Boltzmann equation in the diffusive scaling
by: Ding, Huan, et al.
Published: (2025)

High order well-balanced and total-energy-conserving local discontinuous Galerkin methods for compressible self-gravitating Euler equations
by: Pan, Liang, et al.
Published: (2025)

A Godunov--type scheme for a scalar conservation law with space-time flux discontinuity
by: Gyamfi, Kwame Atta
Published: (2024)

Asymptotic preserving scheme for the shallow water equations with non-flat bottom topography and Manning friction term
by: Huang, Guanlan, et al.
Published: (2026)

A posteriori analysis for nonlinear convection-diffusion systems
by: Dedner, Andreas, et al.
Published: (2025)

The effective use of BLAS interface for implementation of finite-element ADER-DG and finite-volume ADER-WENO methods
by: Popov, I. S.
Published: (2024)

Mixed finite element methods for the Landau--Lifshitz--Baryakhtar and the regularised Landau--Lifshitz--Bloch equations in micromagnetics
by: Soenjaya, Agus L.
Published: (2024)

Asymptotic-Preserving and Well-Balanced Linearly Implicit IMEX Schemes for the Anelastic Limit of the Isentropic Euler Equations with Gravity
by: Artiano, Marco, et al.
Published: (2026)

Adaptive Uncertainty Quantification for Stochastic Hyperbolic Conservation Laws
by: Harmon, Jake J., et al.
Published: (2024)

Stable $C^1$-conforming finite element methods for a class of nonlinear fourth-order evolution equations
by: Soenjaya, Agus L., et al.
Published: (2023)

First-order greedy invariant-domain preserving approximation for hyperbolic problems: scalar conservation laws, and p-system
by: Guermond, Jean-Luc, et al.
Published: (2023)

Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
by: Eckhardt, Daniel, et al.
Published: (2024)

Structure-preserving LDG methods for linear and nonlinear transport equations with gradient noise
by: Christiansen, Thomas, et al.
Published: (2026)

The Landau--Lifshitz--Bloch equation on polytopal domains: Unique existence and finite element approximation
by: Le, Kim-Ngan, et al.
Published: (2024)

A Second-Order Maximum-Principle-Preserving Crouzeix-Raviart Finite Element Method for Time-dependent Transport Equation
by: Mao, Shipeng, et al.
Published: (2026)

Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
by: Xie, Zhengrong
Published: (2024)

Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
by: Bir, Bikram, et al.
Published: (2022)