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A priori estimates for two multiscale finite element methods using multiple global fields to wave equations
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jcph.1997.5682openalex-snapshot
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
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Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion
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Numerical Approximation of Partial Differential Equations
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Flux Norm Approach to Finite Dimensional Homogenization Approximations with Non-Separated Scales and High Contrast
inferredcites →https://doi.org/10.1007/s11242-005-0619-7openalex-snapshot
Adaptive Local–Global Upscaling for General Flow Scenarios in Heterogeneous Formations
inferredcites →https://doi.org/10.1016/0045-7825(90)90165-iopenalex-snapshot
A priori estimates for mixed finite element methods for the wave equation
inferredcites →https://doi.org/10.1016/0148-9062(78)91918-6openalex-snapshot
Fundamentals of geophysical data processing: With applications to petroleum prospecting
inferredcites →https://doi.org/10.1016/0378-4754(87)90091-7openalex-snapshot
Numerical approximation of partial differential equations
inferredcites →https://doi.org/10.1016/j.apnum.2009.07.008openalex-snapshot
Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
inferredcites →https://doi.org/10.1016/j.apnum.2010.04.011openalex-snapshot
Analysis of global multiscale finite element methods for wave equations with continuum spatial scales
inferredcites →https://doi.org/10.1016/j.cma.2008.08.012openalex-snapshot
Numerical homogenization of the acoustic wave equations with a continuum of scales
inferredcites →https://doi.org/10.1016/j.jcp.2006.05.015openalex-snapshot
Accurate multiscale finite element methods for two-phase flow simulations
inferredcites →https://doi.org/10.1016/s0045-7825(03)00347-5openalex-snapshot
Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids
inferredcites →https://doi.org/10.1016/s0045-7825(96)01087-0openalex-snapshot
The partition of unity finite element method: Basic theory and applications
inferredcites →https://doi.org/10.1017/s0962492902000090openalex-snapshot
Survey of meshless and generalized finite element methods: A unified approach
inferredcites →https://doi.org/10.1023/a:1021295215383openalex-snapshot
Implementation of a Locally Conservative Numerical Subgrid Upscaling Scheme for Two-Phase Darcy Flow
inferredcites →https://doi.org/10.1051/m2an/1988220202431openalex-snapshot
On the application of mixed finite element methods to the wave equations
inferredcites →https://doi.org/10.1090/s0025-5718-02-01441-2openalex-snapshot
A mixed multiscale finite element method for elliptic problems with oscillating coefficients
inferredcites →https://doi.org/10.1115/1.1399683openalex-snapshot
Mathematics of Multidimensional Seismic Imaging, Migration, and Inversion. Interdisciplinary Applied Mathematics, Vol 13
inferredcites →https://doi.org/10.1137/040611239openalex-snapshot
A Multiscale Finite Element Method for Numerical Homogenization
inferredcites →https://doi.org/10.1137/050622146openalex-snapshot
Operator Upscaling for the Acoustic Wave Equation
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A Matrix Analysis of Operator-Based Upscaling for the Wave Equation
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Mixed Multiscale Finite Element Methods Using Limited Global Information
inferredcites →https://doi.org/10.1137/0710073openalex-snapshot
$L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
inferredcites →https://doi.org/10.1137/100813968openalex-snapshot
Localized Bases for Finite-Dimensional Homogenization Approximations with Nonseparated Scales and High Contrast
inferredcites →https://doi.org/10.1137/s0036142901388068openalex-snapshot
A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
inferredcites →https://doi.org/10.1146/annurev.fluid.37.061903.175748openalex-snapshot
MODELING FLUID FLOW IN OIL RESERVOIRS
inferredcites →https://doi.org/10.2118/72469-paopenalex-snapshot
Tenth SPE Comparative Solution Project: A Comparison of Upscaling Techniques
inferredcites →https://doi.org/10.3934/dcdsb.2007.8.833openalex-snapshot
Multiscale methods for parabolic equations with continuum spatial scales
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Effective Models and Numerical Homogenization for Wave Propagation in Heterogeneous Media on Arbitrary Timescales
inferred← citeshttps://doi.org/10.1016/bs.hna.2016.10.007openalex-snapshot
Multiscale Methods for Wave Problems in Heterogeneous Media
inferred← citeshttps://doi.org/10.1016/j.amc.2018.04.073openalex-snapshot
Multiscale numerical algorithms for elastic wave equations with rapidly oscillating coefficients
inferred← citeshttps://doi.org/10.1016/j.jcp.2020.109359openalex-snapshot
Computational multiscale methods for first-order wave equation using mixed CEM-GMsFEM
inferred← citeshttps://doi.org/10.1017/s0962492921000015openalex-snapshot
Numerical homogenization beyond scale separation
inferred← citeshttps://doi.org/10.1090/mcom/3114openalex-snapshot
Localized orthogonal decomposition method for the wave equation with a continuum of scales
inferred← citeshttps://doi.org/10.1093/imanum/drab084openalex-snapshot
Fast mass lumped multiscale wave propagation modelling
inferred← citeshttps://doi.org/10.1093/imanum/drae059openalex-snapshot
A higher order multiscale method for the wave equation
inferred← citeshttps://doi.org/10.1137/15m1039225openalex-snapshot
A New Heterogeneous Multiscale Method for Time-Harmonic Maxwell's Equations
inferred← citeshttps://doi.org/10.1137/17m113678xopenalex-snapshot
Effective Models for Long Time Wave Propagation in Locally Periodic Media
inferred← citeshttps://doi.org/10.1137/20m1363832openalex-snapshot
Explicit and Energy-Conserving Constraint Energy Minimizing Generalized Multiscale Discontinuous Galerkin Method for Wave Propagation in Heterogeneous Media
inferred← citeshttps://doi.org/10.1137/21m1438244openalex-snapshot
Numerical Upscaling for Wave Equations with Time-Dependent Multiscale Coefficients
inferred← citeshttps://doi.org/10.32657/10356/69421openalex-snapshot
Multiscale maxwell equations : homogenization and high dimensional finite element method
inferred← citeshttps://doi.org/10.5445/ir/1000136031openalex-snapshot
Numerical upscaling for wave equations with time-dependent multiscale coefficients
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