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Computational modelling offers a cost-effective and time-efficient alternative to experimental studies in biomedical engineering. In cardiac electro-mechanics, finite element method (FEM)-based simulations provide valuable insights into…

Computational Engineering, Finance, and Science · Computer Science 2025-08-20 Tan Tran , Denisa Martonova , Sigrid Leyendecker

We describe a novel coarse-grained simulation method for modelling the dynamics of globular macromolecules, such as proteins. The macromolecule is treated as a continuum that is subject to thermal fluctuations. The model includes a…

Computational Physics · Physics 2015-06-11 Robin Oliver , Daniel J. Read , Oliver G. Harlen , Sarah A. Harris

The scaled boundary finite element method (SBFEM) is a semi-analytical computational scheme, which is based on the characteristics of the finite element method (FEM) and combines the advantages of the boundary element method (BEM). This…

Numerical Analysis · Mathematics 2024-10-22 Yang Yang , Zongliang Zhang , Yelin Feng

This paper presents a re-formulation of the boundary integral method (BIM) for the Debye-Huckel model of molecular and colloidal electrostatics that removes the mathematical singularities that have been accepted as an intrinsic part of the…

Computational Physics · Physics 2019-10-14 Q. Sun , E. Klaseboer , D. Y. C. Chan

Numerical simulation of nonlinear elastic wave propagation in solids with cracks is indispensable for decoding the complicated mechanisms associated with the nonlinear ultrasonic techniques in Non-Destructive Testing (NDT). Here, we…

Geophysics · Physics 2019-07-31 Ke Gao , Esteban Rougier , Robert Guyer , Zhou Lei , Paul A. Johnson

This work extends the VirtualQuake earthquake simulation framework to incorporate the effects of fluid injection on fault stability and induced seismicity. Reworking VirtualQuake into a system using stress point sources, instead of…

Geophysics · Physics 2026-04-08 Spence Norwood , John Rundle

A model for fault dynamics consisting of two rough and rigid brownian profiles that slide one over the other is introduced. An earthquake occurs when there is an intersection between the two profiles. The energy release is proportional to…

Condensed Matter · Physics 2019-08-17 V. De Rubeis , R. Hallgass , V. Loreto , G. Paladin , L. Pietronero , P. Tosi

The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor modelling require either expensive dual basis functions or the…

Computational Physics · Physics 2020-12-29 Shashwat Sharma , Piero Triverio

A highly efficient fast boundary element method (BEM) for solving large-scale engineering acoustic problems in a broad frequency range is developed and implemented. The acoustic problems are modeled by the Burton-Miller boundary integral…

Numerical Analysis · Computer Science 2015-11-16 Yanchuang Cao , Lihua Wen , Jinyou Xiao

This paper presents a matrix-free approach for implementing the shifted boundary method (SBM) in finite element analysis. The SBM is a versatile technique for solving partial differential equations on complex geometries by shifting boundary…

Numerical Analysis · Mathematics 2025-07-24 Michał Wichrowski

The interaction of fibers in a viscous (Stokes) fluid plays a crucial role in industrial and biological processes, such as sedimentation, rheology, transport, cell division, and locomotion. Numerical simulations generally rely on slender…

Numerical Analysis · Mathematics 2024-03-12 Dhairya Malhotra , Alex Barnett

This paper is concerned with the problem of an acoustic wave scattering in a locally perturbed periodic structure. As the total wavefield is non-quasi-periodic, effective truncation techniques are pursued for high-accuracy numerical…

Numerical Analysis · Mathematics 2025-12-16 Wangtao Lu , Kuanrong Shen , Ruming Zhang

This paper presents a novel framework for full-waveform seismic source inversion using simulation-based inference (SBI). Traditional probabilistic approaches often rely on simplifying assumptions about data errors, which we show can lead to…

Geophysics · Physics 2025-05-15 A. A. Saoulis , D. Piras , A. Spurio Mancini , B. Joachimi , A. M. G. Ferreira

The Boundary Element Method (BEM) is a powerful numerical approach for solving 3D elastostatic problems, particularly useful for crack propagation in fracture mechanics and half-space problems. A key challenge in BEM lies in handling…

Numerical Analysis · Mathematics 2025-10-30 Vibudha Lakshmi Keshava , Martin Schanz

The enforcement of global energy conservation in phase-field fracture simulations has been an open problem for the last 25 years. Specifically, the occurrence of unstable fracture is accompanied by a loss in total potential energy, which…

Materials Science · Physics 2026-01-01 Juan Michael Sargado , Joachim Mathiesen

We present an adjoint-based optimization method to invert for stress and frictional parameters used in earthquake modeling. The forward problem is linear elastodynamics with nonlinear rate-and-state frictional faults. The misfit functional…

Numerical Analysis · Mathematics 2024-09-10 Vidar Stiernström , Martin Almquist , Eric M. Dunham

We present an accurate spectral integral method (SIM) for the analyses of scattering from multiple circular perfect electric conductor (PEC) cylinders. It solves the coupled surface integral equations by using the Fourier series and…

Computational Physics · Physics 2023-05-22 Qing Huo Liu , Siwei Wan , Chunhui Zhu

Hydraulic fracturing increases reservoir permeability by opening fractures and triggering slip on natural fractures and faults. While seismic slip of small faults or fault patches is detectable as microseismic events, the role of aseismic…

Geophysics · Physics 2020-02-24 Ali Kashefi , Eric M. Dunham , Benjamin Grossman-Ponemon , Adrian J. Lew

The boundary element method (BEM) is an efficient numerical method for simulating harmonic wave propagation. It uses boundary integral formulations of the Helmholtz equation at the interfaces of piecewise homogeneous domains. The…

Numerical Analysis · Mathematics 2022-11-01 Elwin van 't Wout , Seyyed R. Haqshenas , Pierre Gélat , Timo Betcke , Nader Saffari

Rotating structures are widely observed in engineering applications such as turbomachinary and wind turbine. These rotating structures, particularly for blades made by lightweight materials, can undergo large deformation in operations and…

Dynamical Systems · Mathematics 2026-05-11 Hejun Gao , Yiliang Wang , Yan Qing Wang , Jie Yuan , Mingwu Li