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Simulating physical systems is essential in engineering, but analytical solutions are limited to straightforward problems. Consequently, numerical methods like the Finite Element Method (FEM) are widely used. However, the FEM becomes…

Machine Learning · Computer Science 2026-01-30 Niklas Freymuth , Philipp Dahlinger , Tobias Würth , Simon Reisch , Luise Kärger , Gerhard Neumann

Adaptive mesh refinement (AMR) is a classical technique about local refinement in space where needed, thus effectively reducing computational costs for HPC-based physics simulations. Although AMR has been used for many years, little…

Fluid Dynamics · Physics 2024-05-14 Dewen Liu , Shuai He , Haoran Cheng , Yadong Zeng

Adaptive Mesh Refinement (AMR) enables efficient computation of flows by providing high resolution in critical regions while allowing for coarsening in areas where fine detail is unnecessary. While early AMR software packages relied solely…

Computational Physics · Physics 2025-02-26 Khodr Jaber , Ebenezer Essel , Pierre Sullivan

A technique is presented for producing synthetic images from numerical simulations whereby the image resolution is adapted around prominent features. In so doing, adaptive image ray-tracing (AIR) improves the efficiency of a calculation by…

Instrumentation and Methods for Astrophysics · Physics 2015-05-20 E. R. Parkin

We present the methodology of a photon-conserving, spatially-adaptive, ray-tracing radiative transfer algorithm, designed to run on multiple parallel Graphic Processing Units (GPUs). Each GPU has thousands computing cores, making them…

Cosmology and Nongalactic Astrophysics · Physics 2018-10-17 Blake Hartley , Massimo Ricotti

Image- and data-parallel rendering across multiple nodes on high-performance computing systems is widely used in visualization to provide higher frame rates, support large data sets, and render data in situ. Specifically for in situ…

Graphics · Computer Science 2023-05-15 Will Usher , Ingo Wald , Jefferson Amstutz , Johannes Günther , Carson Brownlee , Valerio Pascucci

High-order solvers for compressible flows are vital in scientific applications. Adaptive mesh refinement (AMR) is a key technique for reducing computational cost by concentrating resolution in regions of interest. In this work, we develop…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-08 Anjiang Wei , Hang Song , Mert Hidayetoglu , Elliott Slaughter , Sanjiva K. Lele , Alex Aiken

Rendering huge biological scenes with atomistic detail presents a significant challenge in molecular visualization due to the memory limitations inherent in traditional rendering approaches. In this paper, we propose a novel method for the…

Graphics · Computer Science 2025-10-17 Ruwayda Alharbi , Ondřej Strnad , Markus Hadwiger , Ivan Viola

Reconfigurable electromagnetic structures (REMSs), such as reconfigurable reflectarrays (RRAs) or reconfigurable intelligent surfaces (RISs), hold significant potential to improve the spectral efficiency of wireless communication systems…

Signal Processing · Electrical Eng. & Systems 2025-12-16 Alexander Stutz-Tirri , Georg Schwan , Christoph Studer

Structured adaptive mesh refinement (AMR), commonly implemented via quadtrees and octrees, underpins a wide range of applications including databases, computer graphics, physics simulations, and machine learning. However, octrees enforce…

Data Structures and Algorithms · Computer Science 2026-03-02 Theresa Pollinger , Masado Ishii , Jens Domke

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

Graphics · Computer Science 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

Research on differentiable scene representations is consistently moving towards more efficient, real-time models. Recently, this has led to the popularization of splatting methods, which eschew the traditional ray-based rendering of…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Shrisudhan Govindarajan , Daniel Rebain , Kwang Moo Yi , Andrea Tagliasacchi

Today's scientific simulations generate exceptionally large volumes of data, challenging the capacities of available I/O bandwidth and storage space. This necessitates a substantial reduction in data volume, for which error-bounded lossy…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-02 Daoce Wang , Jesus Pulido , Pascal Grosset , Jiannan Tian , James Ahrens , Dingwen Tao

3D Gaussian Splatting has gained widespread adoption across diverse applications due to its exceptional rendering performance and visual quality. While most existing methods rely on rasterization to render Gaussians, recent research has…

Graphics · Computer Science 2026-01-29 Junseo Lee , Sangyun Jeon , Jungi Lee , Junyong Park , Jaewoong Sim

In this work, we introduce the novel application of the adaptive mesh refinement (AMR) technique in the global stability analysis of incompressible flows. The design of an accurate mesh for transitional flows is crucial. Indeed, an…

Numerical Analysis · Mathematics 2026-02-17 Daniele Massaro , Valerio Lupi , Adam Peplinski , Philipp Schlatter

We have developed a simulation code with the techniques which enhance both spatial and time resolution of the PM method for which the spatial resolution is restricted by the spacing of structured mesh. The adaptive mesh refinement (AMR)…

Astrophysics · Physics 2009-11-06 Hideki Yahagi , Yuzuru Yoshii

Significance: Monte Carlo (MC) methods are the gold-standard for modeling light-tissue interactions due to their accuracy. Mesh-based MC (MMC) offers enhanced precision for complex tissue structures using tetrahedral mesh models. Despite…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-12-01 Shijie Yan , Douglas Dwyer , David R. Kaeli , Qianqian Fang

Adaptive representations are increasingly indispensable for reducing the in-memory and on-disk footprints of large-scale data. Usual solutions are designed broadly along two themes: reducing data precision, e.g., through compression, or…

Graphics · Computer Science 2022-07-15 Harsh Bhatia , Duong Hoang , Nate Morrical , Valerio Pascucci , Peer-Timo Bremer , Peter Lindstrom

Fracture is one of the main causes of failure in engineering structures. Phase field methods coupled with adaptive mesh refinement (AMR) techniques have been widely used to model crack propagation due to their ease of implementation and…

Materials Science · Physics 2023-07-12 Roberto Perera , Vinamra Agrawal