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We present a detailed derivation and thin interface analysis of a phase-field model that can accurately simulate microstructural pattern formation for low-speed directional solidification of a dilute binary alloy. This advance with respect…

Materials Science · Physics 2009-11-10 Blas Echebarria , Roger Folch , Alain Karma , Mathis Plapp

We develop a novel Hybrid High-Order method for the simulation of Darcy flows in fractured porous media. The discretization hinges on a mixed formulation in the bulk region and on a primal formulation inside the fracture. Salient features…

Numerical Analysis · Mathematics 2017-12-01 Florent Chave , Daniele Di Pietro , Luca Formaggia

Pure advection of a conservative scalar is relevant to several applications including two-phase flow. Successful numerical schemes must capture the sharp interface between the phases while maintaining a smooth (wrinkle-free) interfacial…

Fluid Dynamics · Physics 2018-11-27 Yashar Mehmani

The velocity, coupling term in the flow and transport problems, is important in the accurate numerical simulation or in the posteriori error analysis for adaptive mesh refinement. We consider Enhanced Velocity Mixed Finite Element Method…

Numerical Analysis · Mathematics 2024-12-20 Yerlan Amanbek , Gurpreet Singh , Mary F. Wheeler

In recent decades, the study of fracture propagation in solids has increasingly relied on phase-field models. Several recent contributions have highlighted the potential of this approach in both static and dynamic frameworks. However, a…

Numerical Analysis · Mathematics 2026-05-14 H. M. Verhelst , L. Greco , A. Reali

This paper deals with the local recovery of conservative fluxes for an elliptic interface problem with discontinuous coefficients. The transmission conditions on the interface are imposed weakly and the discretisation is achieved by using…

Numerical Analysis · Mathematics 2026-04-03 Daniela Capatina , Aimene Gouasmi

Wideband channel frequency response (CFR) estimation is challenging in multi-band wireless systems, especially when one or more sub-bands are temporarily blocked by co-channel interference. We present a physics-informed complex Transformer…

Networking and Internet Architecture · Computer Science 2026-04-03 Anatolij Zubow , Joana Angjo , Sigrid Dimce , Falko Dressler

Training-free camera control for pretrained flow-matching video generators is a partial-observation inverse problem: a depth-warped guidance video supplies noisy evidence on a subset of latent sites, which the sampler must reconcile with…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Yuzhu Wang , Xi Ye , Duo Su , Yangyang Xu , Jun Zhu

We present a scheme implementing an a posteriori refinement strategy in the context of a high-order meshless method for problems involving point singularities and fluid-solid interfaces. The generalized moving least squares (GMLS)…

Computational Physics · Physics 2019-07-24 Wei Hu , Nathaniel Trask , Xiaozhe Hu , Wenxiao Pan

The evolution of interfaces is intrinsic to many physical processes ranging from cavitation in fluids to recrystallization in solids. Computational modeling of interface motion entails a number of challenges, many of which are related to…

Materials Science · Physics 2022-07-26 Erdem Eren , Brandon Runnels , Jeremy Mason

A novel finite element framework is proposed for the numerical simulation of two phase flows with surface tension. The Level-Set (LS) method with piece-wise quadratic (P2) interpolation for the liquid-gas interface is used in order to reach…

Computational Engineering, Finance, and Science · Computer Science 2020-10-27 Modesar Shakoor , Chung Hae Park

The complexity of binary droplet collisions increases for the collision of immiscible liquids with the occurrence of triple lines and thin encapsulating films. The Volume of Fluid (VOF) method is extended with an efficient interface…

Fluid Dynamics · Physics 2023-06-22 Johanna Potyka , Kathrin Schulte

Dense ground displacement measurements are crucial for geological studies but are impractical to collect directly. Traditionally, displacement fields are estimated using patch matching on optical satellite images from different acquisition…

Computer Vision and Pattern Recognition · Computer Science 2025-04-21 Juliette Bertrand , Sophie Giffard-Roisin , James Hollingsworth , Julien Mairal

We present an algorithm for reconstructing the radiance field of a large-scale scene from a single casually captured video. The task poses two core challenges. First, most existing radiance field reconstruction approaches rely on accurate…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Andreas Meuleman , Yu-Lun Liu , Chen Gao , Jia-Bin Huang , Changil Kim , Min H. Kim , Johannes Kopf

In this paper, we introduce an interfacial profile-preserving approach for phase field modeling for simulating incompressible two-phase flows. While the advective Cahn-Hilliard equation effectively captures the topological evolution of…

Fluid Dynamics · Physics 2023-10-03 Haohao Hao , Xiangwei Li , Chenglin Jiang , Huanshu Tan

We present an efficient and automatic approach for accurate reconstruction of instances of big 3D objects from multiple, unorganized and unstructured point clouds, in presence of dynamic clutter and occlusions. In contrast to conventional…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Tolga Birdal , Slobodan Ilic

High-order quadrilateral meshes offer superior accuracy and computational efficiency in numerical simulations. However, existing methods struggle to simultaneously preserve boundary/interface features, ensure high quality, and achieve…

Graphics · Computer Science 2026-03-25 Yongjia Weng , Lufeng Liu , Zhonggui Chen , Xuan Zhou , Juan Cao

This paper presents an efficient Krylov subspace iterative solver for the three-dimensional (3D) Helmholtz equation with non-constant coefficients and absorbing boundary conditions, combining high-resolution compact schemes with low-order…

Numerical Analysis · Mathematics 2026-02-10 Yury Gryazin , Ron Gonzales , Xiaoye Sherry Li

Reconstructing physically plausible 3D human-scene interactions (HSI) from a single image currently presents a trade-off: optimization based methods offer accurate contact but are slow (~20s), while feed-forward approaches are fast yet lack…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Pradyumna YM , Yuxuan Xue , Yue Chen , Nikita Kister , István Sárándi , Gerard Pons-Moll

We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have arbitrarily high order of accuracy, both in space and in time. At the core of our…

Numerical Analysis · Mathematics 2015-06-19 Evan S. Gawlik , Adrian J. Lew
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