Domain decomposition is a computational technique used to divide a large problem into smaller, more manageable subproblems that can be solved concurrently, often used in parallel computing to enhance performance. This approach is particularly effective in solving partial differential equations and large-scale simulations by distributing the workload across multiple processors or nodes.

Domain Decomposition

Domain decomposition

computational technique

large problem

Smaller subproblems

manageable subproblems

solved concurrently

Parallel computing is a computational approach where multiple processors execute or process an application or computation simultaneously, significantly reducing the time required for complex computations. This technique is essential for handling large-scale problems in scientific computing, big data analysis, and real-time processing, enhancing performance and efficiency.

parallel computing

enhance performance

Partial differential equations (PDEs) are equations that involve rates of change with respect to continuous variables and are fundamental in describing various physical phenomena such as heat, sound, fluid dynamics, and quantum mechanics. Solving PDEs often requires sophisticated analytical and numerical techniques due to their complexity and the variety of boundary and initial conditions they encompass.

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