human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "composable block solvers for the four field double porosity permeability model"):
  Abstract: The objective of this paper is twofold. First, we propose two composable block solver methodologies to solve the discrete systems that arise from finite element discretizations of the double porosity/permeability (DPP) model. The DPP model, which is a four-field mathematical model, describes the flow of a single-phase incompressible fluid in a porous medium with two distinct pore-networks and with a possibility of mass transfer between them. Using the composable solvers feature available in PETSc and the finite element libraries available under the Firedrake Project, we illustrate two different ways by which one can effectively precondition these large systems of equations. Second, we employ the recently developed performance model called the Time-Accuracy-Size (TAS) spectrum to demonstrate that the proposed composable block solvers are scalable in both the parallel and algorithmic sense. Moreover, we utilize this spectrum analysis to compare the performance of three different finite element discretizations (classical mixed formulation with H(div) elements, stabilized continuous Galerkin mixed formulation, and stabilized discontinuous Galerkin mixed formulation) for the DPP model. Our performance spectrum analysis demonstrates that the composable block solvers are fine choices for any of these three finite element discretizations. Sample computer codes are provided to illustrate how one can easily implement the proposed block solver methodologies through PETSc command line options.

Includes members:
  Member "a stabilized mixed discontinuous galerkin formulation for double porosity permeability model":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a global sensitivity analysis and reduced order models for hydraulically fractured horizontal wells")
  Member "a scalable variational inequality approach for flow through porous media models with pressure dependent viscosity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "comparative study of finite element methods using the time accuracy size tas spectrum analysis")
  Member "a domain specific language for the hybridization and static condensation of finite element methods":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "code generation for generally mapped finite elements")
  Member "comparative study of finite element methods using the time accuracy size tas spectrum analysis":
    also connected through other hyperedges:
      (none)
  Member "modeling flow in porous media with double porosity permeability a stabilized mixed formulation error analysis and numerical solutions":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a stabilized mixed discontinuous galerkin formulation for double porosity permeability model")
  Member "a performance spectrum for parallel computational frameworks that solve pdes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a scalable variational inequality approach for flow through porous media models with pressure dependent viscosity")
  Member "tsfc a structure preserving form compiler":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "slate extending firedrake s domain specific abstraction to hybridized solvers for geoscience and beyond")
  Member "firedrake automating the finite element method by composing abstractions":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "automatic weak imposition of free slip boundary conditions via nitsche s method application to nonlinear problems in geodynamics")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.CE(Computational Engineering, Finance, and Science)