function [nodes, eles, eleNum, nodeNum] = GenerateMesh(lx, ly, numx, numy, removedE)
    % To Mesh a membrane using 4 noded Elements        
    %--------------------------------------------------------------------------
    %--------------------------------------------------------------------------
    % Purpose:
    %         To Mesh a square/rectangular membrane to use in FEM Analysis
    % Synopsis :
    %         [coordinates,nodes,nel,nnode] = GenerateMesh(lx,ly,numx,numy)
    % Variable Description:
    % Input :
    %           lx  - length of the membrane along X-axes
    %           ly  - breadth of the membrane along Y-axes
    %           numx - number of Elements along X-axes
    %           numy - number of Elements along Y-axes
    % Output :
    %           nodes - The nodal coordinates of the mesh
    %           -----> nodes = [node X Y]
    %           arranged by cols: x = 0,y = 10:0 ...
    %           eles - The nodal connectivity of the elements
    %           arranged by cols: ex = 0,ey = 10:0 ...
    %           Nodes sequence in one element:
    %             _______       0 _____ x
    %            | 1   2 |      |  
    %            |       |      |
    %            |_4___3_|      y
    %           -----> nodes = [node1 node2......]
    %           nel- total number of elements
    %           nnodes- total number of nodes
    %--------------------------------------------------------------------------
    % lx = numx;
    % ly = numy;

    eleNum = numx * numy; % Total Number of Elements in the Mesh
    nnel = 4; % Number of nodes per Element
    % Number of points on the Length and Breadth
    npx = numx + 1;
    npy = numy + 1;
    nodeNum = npx * npy; % Total Number of Nodes in the Mesh
    % Discretizing the Length and Breadth of the membrane
    nx = linspace(0, lx, npx);
    ny = linspace(0, ly, npy);
    [xx, yy] = meshgrid(nx, fliplr(ny));
    XX = xx; YY = yy;

    nodes = zeros(nodeNum, 2);
    nodes(:, [1, 2]) = [XX(:) YY(:)];

    % To get the Nodal Connectivity Matrix
    NodeNo = 1:nodeNum;
    eles = zeros(eleNum, nnel);

    % small code for selecting nodal point number for specific element
    NodeNo = reshape(NodeNo, npy, npx);
    eles(:, 4) = reshape(NodeNo(1:npy - 1, 1:npx - 1), eleNum, 1);
    eles(:, 3) = reshape(NodeNo(1:npy - 1, 2:npx), eleNum, 1);
    eles(:, 2) = reshape(NodeNo(2:npy, 2:npx), eleNum, 1);
    eles(:, 1) = reshape(NodeNo(2:npy, 1:npx - 1), eleNum, 1);

    % if have removedE
    if nargin > 4
        removedN1 = eles(removedE, :);
        eles(removedE, :) = [];
        removedNodes = setdiff(removedN1(:), eles(:));
        nodes(:, 3) = 1:nodeNum;
        nodes(removedNodes, :) = [];

        nodeNum = size(nodes, 1);
        eleNum = size(eles, 1);

        % eles still save old nodes idx, repair it
        for i = 1:4
            [~, r] = intersect(nodes(:, 3), eles(:, i));
            eles(:, i) = r;
        end
    end

    % figure;
    % scatter(nodes(:,1),nodes(:,2),'filled');