Abstract: The present disclosure provides systems and methods for domain decomposition in parallel numerical computer modelling that remove the need for large-scale synchronization, decouple the regions within a simulation, and reduces wait times, increasing linear scalability and thus suitability for large-scale cloud deployment. Presently disclosed systems and methods include asynchronous message passing which decouples the computational units within the system and introduces an elasticity that allows wait time to be largely eliminated. Applications include domains in which computations are not easily parallelized and/or large-scale numerical simulations used with a large cluster or cloud computing facility.

Abstract: Methods and apparatuses for domain decomposition in computer simulations using an m-dimensional space-partitioning tree. The domain decomposition may be used in load balancing. Each subdomain boundary is adjusted according to its assigned computer node capability such that its load matches its capability. The subdomain simulation load may be acquired from predictive estimates or from actual measurement during the simulation execution. The load balancing domain decomposition may be done before the simulation starts or during the simulation.

Abstract: The present disclosure provides systems and methods for domain decomposition in parallel numerical computer modelling that remove the need for large-scale synchronization, decouple the regions within a simulation, and reduces wait times, increasing linear scalability and thus suitability for large-scale cloud deployment. Presently disclosed systems and methods include asynchronous message passing which decouples the computational units within the system and introduces an elasticity that allows wait time to be largely eliminated. Applications include domains in which computations are not easily parallelized and/or large-scale numerical simulations used with a large cluster or cloud computing facility.

Abstract: Methods and apparatuses for domain decomposition in computer simulations using an m-dimensional space-partitioning tree. The domain decomposition may be used in load balancing. Each subdomain boundary is adjusted according to its assigned computer node capability such that its load matches its capability. The subdomain simulation load may be acquired from predictive estimates or from actual measurement during the simulation execution. The load balancing domain decomposition may be done before the simulation starts or during the simulation.

Abstract: Methods and apparatuses for an inversion process in an imaging process, in which 3-D surface models are used to explicitly represent complex boundaries, in which the 3-D surface models and the gridded models are linked by projection and model gridding, and in which the 3-D surface models and the gridded models are updated during inversion.