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Full Waveform Inversion (FWI) is a modeling algorithm used for seismic data processing and subsurface structure inversion. Theoretically, the main advantage of FWI is its ability to obtain useful subsurface structure information, such as…

Geophysics · Physics 2023-09-26 Jiahang Li , Hitoshi Mikada , Junichi Takekawa

In this work we propose an efficient and accurate multi-scale optical simulation algorithm by applying a numerical version of slowly varying envelope approximation in FEM. Specifically, we employ the fast iterative method to quickly compute…

Optics · Physics 2024-12-03 Fan Xiao , Jingwei Wang , Zhongfei Xiong , Yuntian Chen

We develop a robust cut finite element method for a model of diffusion in fractured media consisting of a bulk domain with embedded cracks. The crack has its own pressure field and can cut through the bulk mesh in a very general fashion.…

Numerical Analysis · Mathematics 2020-06-03 Erik Burman , Peter Hansbo , Mats G. Larson

In this work we propose a high-order structure-preserving discretization of the cold plasma model which describes the propagation of electromagnetic waves in magnetized plasmas. By utilizing B-Splines Finite Elements Exterior Calculus, we…

Numerical Analysis · Mathematics 2025-01-29 Elena Moral Sánchez , Martin Campos Pinto , Yaman Güçlü , Omar Maj

In our recent work [AIP Adv. 11, 095006], we presented an efficient numerical method to compute dispersions and spatial mode profiles of spin waves propagating in waveguides with translationally invariant equilibrium magnetization. Using a…

Mesoscale and Nanoscale Physics · Physics 2024-06-12 Lukas Körber , Alexander Hempel , Andreas Otto , Rodolfo Gallardo , Yves Henry , Jürgen Lindner , Attila Kákay

The numerical simulation of acoustic waves in complex 3D media is a key topic in many branches of science, from exploration geophysics to non-destructive testing and medical imaging. With the drastic increase in computing capabilities this…

Computational Physics · Physics 2016-12-21 Alexis Bottero , Paul Cristini , Dimitri Komatitsch , Mark Asch

Full-waveform inversion (FWI) is an advanced technique for reconstructing high-resolution subsurface physical parameters by progressively minimizing the discrepancy between observed and predicted seismic data. However, conventional FWI…

Geophysics · Physics 2025-03-04 Chao Song , Tariq Alkhalifah , Umair Bin Waheed , Silin Wang , Cai Liu

In this work, the propagation of an ultrasonic pulse in a thin plate is computed solving the differential equations modeling this problem. To solve these equations finite differences are used to discretize the temporal variable, while…

Semi-discrete and fully discrete mixed finite element methods are considered for Maxwell-model-based problems of wave propagation in linear viscoelastic solid. This mixed finite element framework allows the use of a large class of existing…

Numerical Analysis · Mathematics 2021-06-16 Hao Yuan , Xiaoping Xie

Seismic full-waveform inversion (FWI) provides high resolution images of the subsurface by exploiting information in the recorded seismic waveforms. This is achieved by solving a highly nonnlinear and nonunique inverse problem. Bayesian…

Geophysics · Physics 2023-02-22 Xin Zhang , Angus Lomas , Muhong Zhou , York Zheng , Andrew Curtis

We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic…

Computational Physics · Physics 2007-05-23 S. Rahman , H. P. Langtangen , C. H. W. Barnes

In a variety of scientific and engineering domains, the need for high-fidelity and efficient solutions for high-frequency wave propagation holds great significance. Recent advances in wave modeling use sufficiently accurate fine solver…

Analysis of PDEs · Mathematics 2025-09-17 Luis Kaiser , Richard Tsai , Christian Klingenberg

In this paper we develop a simple finite element method for simulation of embedded layers of high permeability in a matrix of lower permeability using a basic model of Darcy flow in embedded cracks. The cracks are allowed to cut through the…

Numerical Analysis · Mathematics 2017-09-05 Erik Burman , Peter Hansbo , Mats G. Larson

In this work, a novel approach for the detection and localisation of nonlinear guided waves often associated with the presence of damage in structural components is proposed. The method is active and consists of a piezoelectric transducer…

Applied Physics · Physics 2024-06-26 Paweł Kudela , Maciej Radzienski , Marco Miniaci , Piotr Fiborek , Wieslaw Ostachowicz

This paper proposes a novel approach that combines variational integration with the bonded discrete element method (BDEM) to achieve faster and more accurate fracture simulations. The approach leverages the efficiency of implicit…

Graphics · Computer Science 2025-04-28 Jia-Ming Lu , Geng-Chen Cao , Chen-Feng Li , Shi-Min Hu

Full Wave Inversion (FWI) imaging scheme has many applications in engineering, geoscience and medical sciences. In this paper, a surrogate deep learning FWI approach is presented to quantify properties of materials using stress waves. Such…

Materials Science · Physics 2020-01-08 Reza Rashetnia , Mohammad Pour-Ghaz

The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finite element (FE) method to approximate the stresses and forces…

Numerical Analysis · Mathematics 2023-02-01 David Wells , Ben Vadala-Roth , Jae H. Lee , Boyce E. Griffith

In this paper, we propose a novel high order unfitted finite element method on Cartesian meshes for solving the acoustic wave equation with discontinuous coefficients having complex interface geometry. The unfitted finite element method…

Numerical Analysis · Mathematics 2023-02-06 Zhiming Chen , Yong Liu , Xueshuang Xiang

We discuss analytically and numerically the propagation and energy transmission of electromagnetic waves caused by the coupling of surface plasmon polaritons (SPPs) between two spatially separated layers of 2D materials, such as graphene,…

Computational Physics · Physics 2019-05-01 Jung Heon Song , Matthias Maier , Mitchell Luskin

Metasurfaces are extremely useful for controlling and manipulating electromagnetic waves. Full-wave numerical simulation is highly desired for their design and optimization, but it is notoriously difficult, even for two-dimensional…

Optics · Physics 2026-01-21 Fuhao Liu , Ya Yan Lu